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Finding the Fourth Proportional to 8,557.92, 11,809.78 and 4,781.14

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Solution

The fourth proportional to 8,557.92, 11,809.78 and 4,781.14 is: 6,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557.92 : 11,809.78 = 4,781.14 : x
  2. Step 2: Convert to fraction form
    8,557.92/11,809.78 = 4,781.14/x
  3. Step 3: Cross multiply
    8,557.92x = 11,809.78 × 4,781.14
  4. Step 4: Simplify right side
    8,557.92x = 56,464,211.55
  5. Step 5: Solve for x
    x = 56,464,211.55/8,557.92
  6. Step 6: Final answer
    x = 6,597.89

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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.