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Finding the Fourth Proportional to 7,142.80, 10,714.20 and 1,877.80

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Solution

The fourth proportional to 7,142.80, 10,714.20 and 1,877.80 is: 2,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.80 : 10,714.20 = 1,877.80 : x
  2. Step 2: Convert to fraction form
    7,142.80/10,714.20 = 1,877.80/x
  3. Step 3: Cross multiply
    7,142.80x = 10,714.20 × 1,877.80
  4. Step 4: Simplify right side
    7,142.80x = 20,119,124.76
  5. Step 5: Solve for x
    x = 20,119,124.76/7,142.80
  6. Step 6: Final answer
    x = 2,816.70

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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.