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Finding the Fourth Proportional to 6,502.48, 9,763.44 and 5,627.68

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Solution

The fourth proportional to 6,502.48, 9,763.44 and 5,627.68 is: 8,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.48 : 9,763.44 = 5,627.68 : x
  2. Step 2: Convert to fraction form
    6,502.48/9,763.44 = 5,627.68/x
  3. Step 3: Cross multiply
    6,502.48x = 9,763.44 × 5,627.68
  4. Step 4: Simplify right side
    6,502.48x = 54,945,516.02
  5. Step 5: Solve for x
    x = 54,945,516.02/6,502.48
  6. Step 6: Final answer
    x = 8,449.93

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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.