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Finding the Fourth Proportional to 9,136.84, 13,707.42 and 4,753.96

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Solution

The fourth proportional to 9,136.84, 13,707.42 and 4,753.96 is: 7,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.84 : 13,707.42 = 4,753.96 : x
  2. Step 2: Convert to fraction form
    9,136.84/13,707.42 = 4,753.96/x
  3. Step 3: Cross multiply
    9,136.84x = 13,707.42 × 4,753.96
  4. Step 4: Simplify right side
    9,136.84x = 65,164,526.38
  5. Step 5: Solve for x
    x = 65,164,526.38/9,136.84
  6. Step 6: Final answer
    x = 7,132.06

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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.