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Finding the Fourth Proportional to 10,772.40, 16,141.32 and 9,044.40

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Solution

The fourth proportional to 10,772.40, 16,141.32 and 9,044.40 is: 13,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.40 : 16,141.32 = 9,044.40 : x
  2. Step 2: Convert to fraction form
    10,772.40/16,141.32 = 9,044.40/x
  3. Step 3: Cross multiply
    10,772.40x = 16,141.32 × 9,044.40
  4. Step 4: Simplify right side
    10,772.40x = 145,988,554.61
  5. Step 5: Solve for x
    x = 145,988,554.61/10,772.40
  6. Step 6: Final answer
    x = 13,552.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.