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Finding the Fourth Proportional to 27,013.70, 40,532.70 and 9,496.10

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Solution

The fourth proportional to 27,013.70, 40,532.70 and 9,496.10 is: 14,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,013.70 : 40,532.70 = 9,496.10 : x
  2. Step 2: Convert to fraction form
    27,013.70/40,532.70 = 9,496.10/x
  3. Step 3: Cross multiply
    27,013.70x = 40,532.70 × 9,496.10
  4. Step 4: Simplify right side
    27,013.70x = 384,902,572.47
  5. Step 5: Solve for x
    x = 384,902,572.47/27,013.70
  6. Step 6: Final answer
    x = 14,248.42

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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.