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Finding the Fourth Proportional to 11,398.68, 15,717.78 and 7,412.40

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Solution

The fourth proportional to 11,398.68, 15,717.78 and 7,412.40 is: 10,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.68 : 15,717.78 = 7,412.40 : x
  2. Step 2: Convert to fraction form
    11,398.68/15,717.78 = 7,412.40/x
  3. Step 3: Cross multiply
    11,398.68x = 15,717.78 × 7,412.40
  4. Step 4: Simplify right side
    11,398.68x = 116,506,472.47
  5. Step 5: Solve for x
    x = 116,506,472.47/11,398.68
  6. Step 6: Final answer
    x = 10,221.05

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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.