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Finding the Fourth Proportional to 9,609.66, 14,399.91 and 7,132.91

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Solution

The fourth proportional to 9,609.66, 14,399.91 and 7,132.91 is: 10,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.66 : 14,399.91 = 7,132.91 : x
  2. Step 2: Convert to fraction form
    9,609.66/14,399.91 = 7,132.91/x
  3. Step 3: Cross multiply
    9,609.66x = 14,399.91 × 7,132.91
  4. Step 4: Simplify right side
    9,609.66x = 102,713,190.04
  5. Step 5: Solve for x
    x = 102,713,190.04/9,609.66
  6. Step 6: Final answer
    x = 10,688.54

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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.