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Finding the Fourth Proportional to 4,941.69, 6,808.08 and 3,170.22

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Solution

The fourth proportional to 4,941.69, 6,808.08 and 3,170.22 is: 4,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.69 : 6,808.08 = 3,170.22 : x
  2. Step 2: Convert to fraction form
    4,941.69/6,808.08 = 3,170.22/x
  3. Step 3: Cross multiply
    4,941.69x = 6,808.08 × 3,170.22
  4. Step 4: Simplify right side
    4,941.69x = 21,583,111.38
  5. Step 5: Solve for x
    x = 21,583,111.38/4,941.69
  6. Step 6: Final answer
    x = 4,367.56

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Half scale
Find fourth proportional to 9,883.38, 13,616.16 and 6,340.44
Double scale
Find fourth proportional to 4,942.69, 6,809.46 and 3,171.22
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.