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Finding the Fourth Proportional to 6,499.01, 9,752.24 and 6,446.16

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Solution

The fourth proportional to 6,499.01, 9,752.24 and 6,446.16 is: 9,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.01 : 9,752.24 = 6,446.16 : x
  2. Step 2: Convert to fraction form
    6,499.01/9,752.24 = 6,446.16/x
  3. Step 3: Cross multiply
    6,499.01x = 9,752.24 × 6,446.16
  4. Step 4: Simplify right side
    6,499.01x = 62,864,467.17
  5. Step 5: Solve for x
    x = 62,864,467.17/6,499.01
  6. Step 6: Final answer
    x = 9,672.94

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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.