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Finding the Fourth Proportional to 10,574.66, 15,861.92 and 8,597.90

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Solution

The fourth proportional to 10,574.66, 15,861.92 and 8,597.90 is: 12,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.66 : 15,861.92 = 8,597.90 : x
  2. Step 2: Convert to fraction form
    10,574.66/15,861.92 = 8,597.90/x
  3. Step 3: Cross multiply
    10,574.66x = 15,861.92 × 8,597.90
  4. Step 4: Simplify right side
    10,574.66x = 136,379,079.67
  5. Step 5: Solve for x
    x = 136,379,079.67/10,574.66
  6. Step 6: Final answer
    x = 12,896.79

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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.