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Finding the Fourth Proportional to 10,577.76, 15,773.52 and 9,839.04

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Solution

The fourth proportional to 10,577.76, 15,773.52 and 9,839.04 is: 14,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.76 : 15,773.52 = 9,839.04 : x
  2. Step 2: Convert to fraction form
    10,577.76/15,773.52 = 9,839.04/x
  3. Step 3: Cross multiply
    10,577.76x = 15,773.52 × 9,839.04
  4. Step 4: Simplify right side
    10,577.76x = 155,196,294.22
  5. Step 5: Solve for x
    x = 155,196,294.22/10,577.76
  6. Step 6: Final answer
    x = 14,671.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.