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Finding the Fourth Proportional to 9,071.48, 13,594.92 and 8,161.13

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Solution

The fourth proportional to 9,071.48, 13,594.92 and 8,161.13 is: 12,230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.48 : 13,594.92 = 8,161.13 : x
  2. Step 2: Convert to fraction form
    9,071.48/13,594.92 = 8,161.13/x
  3. Step 3: Cross multiply
    9,071.48x = 13,594.92 × 8,161.13
  4. Step 4: Simplify right side
    9,071.48x = 110,949,909.46
  5. Step 5: Solve for x
    x = 110,949,909.46/9,071.48
  6. Step 6: Final answer
    x = 12,230.63

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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.