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Finding the Fourth Proportional to 6,984.95, 9,641.48 and 4,473.81

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Solution

The fourth proportional to 6,984.95, 9,641.48 and 4,473.81 is: 6,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.95 : 9,641.48 = 4,473.81 : x
  2. Step 2: Convert to fraction form
    6,984.95/9,641.48 = 4,473.81/x
  3. Step 3: Cross multiply
    6,984.95x = 9,641.48 × 4,473.81
  4. Step 4: Simplify right side
    6,984.95x = 43,134,127.27
  5. Step 5: Solve for x
    x = 43,134,127.27/6,984.95
  6. Step 6: Final answer
    x = 6,175.30

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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.