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Finding the Fourth Proportional to 6,885.71, 9,502.25 and 4,053.06

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Solution

The fourth proportional to 6,885.71, 9,502.25 and 4,053.06 is: 5,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.71 : 9,502.25 = 4,053.06 : x
  2. Step 2: Convert to fraction form
    6,885.71/9,502.25 = 4,053.06/x
  3. Step 3: Cross multiply
    6,885.71x = 9,502.25 × 4,053.06
  4. Step 4: Simplify right side
    6,885.71x = 38,513,189.39
  5. Step 5: Solve for x
    x = 38,513,189.39/6,885.71
  6. Step 6: Final answer
    x = 5,593.21

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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.