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Finding the Fourth Proportional to 9,632.70, 14,453.10 and 5,253.30

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Solution

The fourth proportional to 9,632.70, 14,453.10 and 5,253.30 is: 7,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.70 : 14,453.10 = 5,253.30 : x
  2. Step 2: Convert to fraction form
    9,632.70/14,453.10 = 5,253.30/x
  3. Step 3: Cross multiply
    9,632.70x = 14,453.10 × 5,253.30
  4. Step 4: Simplify right side
    9,632.70x = 75,926,470.23
  5. Step 5: Solve for x
    x = 75,926,470.23/9,632.70
  6. Step 6: Final answer
    x = 7,882.16

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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.