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Finding the Fourth Proportional to 9,839.53, 13,648.13 and 9,484.89

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Solution

The fourth proportional to 9,839.53, 13,648.13 and 9,484.89 is: 13,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.53 : 13,648.13 = 9,484.89 : x
  2. Step 2: Convert to fraction form
    9,839.53/13,648.13 = 9,484.89/x
  3. Step 3: Cross multiply
    9,839.53x = 13,648.13 × 9,484.89
  4. Step 4: Simplify right side
    9,839.53x = 129,451,011.76
  5. Step 5: Solve for x
    x = 129,451,011.76/9,839.53
  6. Step 6: Final answer
    x = 13,156.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.