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Finding the Fourth Proportional to 13,778.17, 19,013.78 and 7,490.54

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Solution

The fourth proportional to 13,778.17, 19,013.78 and 7,490.54 is: 10,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.17 : 19,013.78 = 7,490.54 : x
  2. Step 2: Convert to fraction form
    13,778.17/19,013.78 = 7,490.54/x
  3. Step 3: Cross multiply
    13,778.17x = 19,013.78 × 7,490.54
  4. Step 4: Simplify right side
    13,778.17x = 142,423,545.90
  5. Step 5: Solve for x
    x = 142,423,545.90/13,778.17
  6. Step 6: Final answer
    x = 10,336.90

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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.