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Finding the Fourth Proportional to 9,264.74, 13,897.04 and 7,874.78

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Solution

The fourth proportional to 9,264.74, 13,897.04 and 7,874.78 is: 11,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.74 : 13,897.04 = 7,874.78 : x
  2. Step 2: Convert to fraction form
    9,264.74/13,897.04 = 7,874.78/x
  3. Step 3: Cross multiply
    9,264.74x = 13,897.04 × 7,874.78
  4. Step 4: Simplify right side
    9,264.74x = 109,436,132.65
  5. Step 5: Solve for x
    x = 109,436,132.65/9,264.74
  6. Step 6: Final answer
    x = 11,812.11

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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.