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Finding the Fourth Proportional to 9,545.53, 13,153.44 and 7,861.54

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Solution

The fourth proportional to 9,545.53, 13,153.44 and 7,861.54 is: 10,832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.53 : 13,153.44 = 7,861.54 : x
  2. Step 2: Convert to fraction form
    9,545.53/13,153.44 = 7,861.54/x
  3. Step 3: Cross multiply
    9,545.53x = 13,153.44 × 7,861.54
  4. Step 4: Simplify right side
    9,545.53x = 103,406,294.70
  5. Step 5: Solve for x
    x = 103,406,294.70/9,545.53
  6. Step 6: Final answer
    x = 10,832.95

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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.