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Finding the Fourth Proportional to 9,679.96, 14,510.14 and 6,560.28

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Solution

The fourth proportional to 9,679.96, 14,510.14 and 6,560.28 is: 9,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.96 : 14,510.14 = 6,560.28 : x
  2. Step 2: Convert to fraction form
    9,679.96/14,510.14 = 6,560.28/x
  3. Step 3: Cross multiply
    9,679.96x = 14,510.14 × 6,560.28
  4. Step 4: Simplify right side
    9,679.96x = 95,190,581.24
  5. Step 5: Solve for x
    x = 95,190,581.24/9,679.96
  6. Step 6: Final answer
    x = 9,833.78

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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.