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Finding the Fourth Proportional to 10,207.60, 15,311.40 and 10,142.80

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Solution

The fourth proportional to 10,207.60, 15,311.40 and 10,142.80 is: 15,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.60 : 15,311.40 = 10,142.80 : x
  2. Step 2: Convert to fraction form
    10,207.60/15,311.40 = 10,142.80/x
  3. Step 3: Cross multiply
    10,207.60x = 15,311.40 × 10,142.80
  4. Step 4: Simplify right side
    10,207.60x = 155,300,467.92
  5. Step 5: Solve for x
    x = 155,300,467.92/10,207.60
  6. Step 6: Final answer
    x = 15,214.20

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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.