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Finding the Fourth Proportional to 5,684.51, 7,844.45 and 3,166.63

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Solution

The fourth proportional to 5,684.51, 7,844.45 and 3,166.63 is: 4,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.51 : 7,844.45 = 3,166.63 : x
  2. Step 2: Convert to fraction form
    5,684.51/7,844.45 = 3,166.63/x
  3. Step 3: Cross multiply
    5,684.51x = 7,844.45 × 3,166.63
  4. Step 4: Simplify right side
    5,684.51x = 24,840,435.26
  5. Step 5: Solve for x
    x = 24,840,435.26/5,684.51
  6. Step 6: Final answer
    x = 4,369.84

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Half scale
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Double scale
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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.