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Finding the Fourth Proportional to 8,672.50, 13,008.75 and 2,098.68

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Solution

The fourth proportional to 8,672.50, 13,008.75 and 2,098.68 is: 3,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.50 : 13,008.75 = 2,098.68 : x
  2. Step 2: Convert to fraction form
    8,672.50/13,008.75 = 2,098.68/x
  3. Step 3: Cross multiply
    8,672.50x = 13,008.75 × 2,098.68
  4. Step 4: Simplify right side
    8,672.50x = 27,301,225.48
  5. Step 5: Solve for x
    x = 27,301,225.48/8,672.50
  6. Step 6: Final answer
    x = 3,148.02

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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.