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Finding the Fourth Proportional to 6,463.70, 9,689.68 and 4,490.25

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Solution

The fourth proportional to 6,463.70, 9,689.68 and 4,490.25 is: 6,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.70 : 9,689.68 = 4,490.25 : x
  2. Step 2: Convert to fraction form
    6,463.70/9,689.68 = 4,490.25/x
  3. Step 3: Cross multiply
    6,463.70x = 9,689.68 × 4,490.25
  4. Step 4: Simplify right side
    6,463.70x = 43,509,085.62
  5. Step 5: Solve for x
    x = 43,509,085.62/6,463.70
  6. Step 6: Final answer
    x = 6,731.30

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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.