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Finding the Fourth Proportional to 9,707.91, 14,559.17 and 6,147.71

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Solution

The fourth proportional to 9,707.91, 14,559.17 and 6,147.71 is: 9,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.91 : 14,559.17 = 6,147.71 : x
  2. Step 2: Convert to fraction form
    9,707.91/14,559.17 = 6,147.71/x
  3. Step 3: Cross multiply
    9,707.91x = 14,559.17 × 6,147.71
  4. Step 4: Simplify right side
    9,707.91x = 89,505,631.18
  5. Step 5: Solve for x
    x = 89,505,631.18/9,707.91
  6. Step 6: Final answer
    x = 9,219.86

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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.