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Finding the Fourth Proportional to 6,491.60, 9,737.40 and 4,029.20

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Solution

The fourth proportional to 6,491.60, 9,737.40 and 4,029.20 is: 6,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.60 : 9,737.40 = 4,029.20 : x
  2. Step 2: Convert to fraction form
    6,491.60/9,737.40 = 4,029.20/x
  3. Step 3: Cross multiply
    6,491.60x = 9,737.40 × 4,029.20
  4. Step 4: Simplify right side
    6,491.60x = 39,233,932.08
  5. Step 5: Solve for x
    x = 39,233,932.08/6,491.60
  6. Step 6: Final answer
    x = 6,043.80

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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.