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Finding the Fourth Proportional to 8,471.70, 12,693.27 and 6,495.24

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Solution

The fourth proportional to 8,471.70, 12,693.27 and 6,495.24 is: 9,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.70 : 12,693.27 = 6,495.24 : x
  2. Step 2: Convert to fraction form
    8,471.70/12,693.27 = 6,495.24/x
  3. Step 3: Cross multiply
    8,471.70x = 12,693.27 × 6,495.24
  4. Step 4: Simplify right side
    8,471.70x = 82,445,835.03
  5. Step 5: Solve for x
    x = 82,445,835.03/8,471.70
  6. Step 6: Final answer
    x = 9,731.91

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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.