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Finding the Fourth Proportional to 9,543.16, 13,162.44 and 9,124.36

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Solution

The fourth proportional to 9,543.16, 13,162.44 and 9,124.36 is: 12,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.16 : 13,162.44 = 9,124.36 : x
  2. Step 2: Convert to fraction form
    9,543.16/13,162.44 = 9,124.36/x
  3. Step 3: Cross multiply
    9,543.16x = 13,162.44 × 9,124.36
  4. Step 4: Simplify right side
    9,543.16x = 120,098,841.04
  5. Step 5: Solve for x
    x = 120,098,841.04/9,543.16
  6. Step 6: Final answer
    x = 12,584.81

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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.