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Finding the Fourth Proportional to 7,142.76, 10,714.32 and 1,948.68

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Solution

The fourth proportional to 7,142.76, 10,714.32 and 1,948.68 is: 2,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.76 : 10,714.32 = 1,948.68 : x
  2. Step 2: Convert to fraction form
    7,142.76/10,714.32 = 1,948.68/x
  3. Step 3: Cross multiply
    7,142.76x = 10,714.32 × 1,948.68
  4. Step 4: Simplify right side
    7,142.76x = 20,878,781.10
  5. Step 5: Solve for x
    x = 20,878,781.10/7,142.76
  6. Step 6: Final answer
    x = 2,923.07

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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.