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Finding the Fourth Proportional to 9,162.71, 13,733.58 and 5,216.08

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Solution

The fourth proportional to 9,162.71, 13,733.58 and 5,216.08 is: 7,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.71 : 13,733.58 = 5,216.08 : x
  2. Step 2: Convert to fraction form
    9,162.71/13,733.58 = 5,216.08/x
  3. Step 3: Cross multiply
    9,162.71x = 13,733.58 × 5,216.08
  4. Step 4: Simplify right side
    9,162.71x = 71,635,451.97
  5. Step 5: Solve for x
    x = 71,635,451.97/9,162.71
  6. Step 6: Final answer
    x = 7,818.15

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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.