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Finding the Fourth Proportional to 9,225.65, 13,847.89 and 6,753.12

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Solution

The fourth proportional to 9,225.65, 13,847.89 and 6,753.12 is: 10,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.65 : 13,847.89 = 6,753.12 : x
  2. Step 2: Convert to fraction form
    9,225.65/13,847.89 = 6,753.12/x
  3. Step 3: Cross multiply
    9,225.65x = 13,847.89 × 6,753.12
  4. Step 4: Simplify right side
    9,225.65x = 93,516,446.03
  5. Step 5: Solve for x
    x = 93,516,446.03/9,225.65
  6. Step 6: Final answer
    x = 10,136.58

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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.