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Finding the Fourth Proportional to 13,510.68, 20,233.08 and 7,649.52

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Solution

The fourth proportional to 13,510.68, 20,233.08 and 7,649.52 is: 11,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.68 : 20,233.08 = 7,649.52 : x
  2. Step 2: Convert to fraction form
    13,510.68/20,233.08 = 7,649.52/x
  3. Step 3: Cross multiply
    13,510.68x = 20,233.08 × 7,649.52
  4. Step 4: Simplify right side
    13,510.68x = 154,773,350.12
  5. Step 5: Solve for x
    x = 154,773,350.12/13,510.68
  6. Step 6: Final answer
    x = 11,455.63

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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.