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Finding the Fourth Proportional to 9,641.70, 14,470.75 and 6,875.14

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Solution

The fourth proportional to 9,641.70, 14,470.75 and 6,875.14 is: 10,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.70 : 14,470.75 = 6,875.14 : x
  2. Step 2: Convert to fraction form
    9,641.70/14,470.75 = 6,875.14/x
  3. Step 3: Cross multiply
    9,641.70x = 14,470.75 × 6,875.14
  4. Step 4: Simplify right side
    9,641.70x = 99,488,432.16
  5. Step 5: Solve for x
    x = 99,488,432.16/9,641.70
  6. Step 6: Final answer
    x = 10,318.56

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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.