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Finding the Fourth Proportional to 7,625.68, 10,516.44 and 4,972.12

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Solution

The fourth proportional to 7,625.68, 10,516.44 and 4,972.12 is: 6,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.68 : 10,516.44 = 4,972.12 : x
  2. Step 2: Convert to fraction form
    7,625.68/10,516.44 = 4,972.12/x
  3. Step 3: Cross multiply
    7,625.68x = 10,516.44 × 4,972.12
  4. Step 4: Simplify right side
    7,625.68x = 52,289,001.65
  5. Step 5: Solve for x
    x = 52,289,001.65/7,625.68
  6. Step 6: Final answer
    x = 6,856.96

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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.