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Finding the Fourth Proportional to 10,132.70, 15,193.65 and 4,282.70

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Solution

The fourth proportional to 10,132.70, 15,193.65 and 4,282.70 is: 6,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.70 : 15,193.65 = 4,282.70 : x
  2. Step 2: Convert to fraction form
    10,132.70/15,193.65 = 4,282.70/x
  3. Step 3: Cross multiply
    10,132.70x = 15,193.65 × 4,282.70
  4. Step 4: Simplify right side
    10,132.70x = 65,069,844.86
  5. Step 5: Solve for x
    x = 65,069,844.86/10,132.70
  6. Step 6: Final answer
    x = 6,421.77

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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.