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Finding the Fourth Proportional to 14,864.76, 20,515.14 and 8,577

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Solution

The fourth proportional to 14,864.76, 20,515.14 and 8,577 is: 11,837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.76 : 20,515.14 = 8,577 : x
  2. Step 2: Convert to fraction form
    14,864.76/20,515.14 = 8,577/x
  3. Step 3: Cross multiply
    14,864.76x = 20,515.14 × 8,577
  4. Step 4: Simplify right side
    14,864.76x = 175,958,355.78
  5. Step 5: Solve for x
    x = 175,958,355.78/14,864.76
  6. Step 6: Final answer
    x = 11,837.28

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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.