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Finding the Fourth Proportional to 9,801.75, 14,674.68 and 6,508.29

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Solution

The fourth proportional to 9,801.75, 14,674.68 and 6,508.29 is: 9,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.75 : 14,674.68 = 6,508.29 : x
  2. Step 2: Convert to fraction form
    9,801.75/14,674.68 = 6,508.29/x
  3. Step 3: Cross multiply
    9,801.75x = 14,674.68 × 6,508.29
  4. Step 4: Simplify right side
    9,801.75x = 95,507,073.10
  5. Step 5: Solve for x
    x = 95,507,073.10/9,801.75
  6. Step 6: Final answer
    x = 9,743.88

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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.