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Finding the Fourth Proportional to 6,502.48, 9,745.62 and 2,988.75

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Solution

The fourth proportional to 6,502.48, 9,745.62 and 2,988.75 is: 4,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.48 : 9,745.62 = 2,988.75 : x
  2. Step 2: Convert to fraction form
    6,502.48/9,745.62 = 2,988.75/x
  3. Step 3: Cross multiply
    6,502.48x = 9,745.62 × 2,988.75
  4. Step 4: Simplify right side
    6,502.48x = 29,127,221.78
  5. Step 5: Solve for x
    x = 29,127,221.78/6,502.48
  6. Step 6: Final answer
    x = 4,479.40

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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.