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Finding the Fourth Proportional to 7,012.92, 9,677.12 and 4,141.20

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Solution

The fourth proportional to 7,012.92, 9,677.12 and 4,141.20 is: 5,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.92 : 9,677.12 = 4,141.20 : x
  2. Step 2: Convert to fraction form
    7,012.92/9,677.12 = 4,141.20/x
  3. Step 3: Cross multiply
    7,012.92x = 9,677.12 × 4,141.20
  4. Step 4: Simplify right side
    7,012.92x = 40,074,889.34
  5. Step 5: Solve for x
    x = 40,074,889.34/7,012.92
  6. Step 6: Final answer
    x = 5,714.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.