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Finding the Fourth Proportional to 7,876.24, 11,800.46 and 7,018.18

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Solution

The fourth proportional to 7,876.24, 11,800.46 and 7,018.18 is: 10,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.24 : 11,800.46 = 7,018.18 : x
  2. Step 2: Convert to fraction form
    7,876.24/11,800.46 = 7,018.18/x
  3. Step 3: Cross multiply
    7,876.24x = 11,800.46 × 7,018.18
  4. Step 4: Simplify right side
    7,876.24x = 82,817,752.36
  5. Step 5: Solve for x
    x = 82,817,752.36/7,876.24
  6. Step 6: Final answer
    x = 10,514.88

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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.