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Finding the Fourth Proportional to 4,974.16, 7,456.16 and 3,126.56

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Solution

The fourth proportional to 4,974.16, 7,456.16 and 3,126.56 is: 4,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.16 : 7,456.16 = 3,126.56 : x
  2. Step 2: Convert to fraction form
    4,974.16/7,456.16 = 3,126.56/x
  3. Step 3: Cross multiply
    4,974.16x = 7,456.16 × 3,126.56
  4. Step 4: Simplify right side
    4,974.16x = 23,312,131.61
  5. Step 5: Solve for x
    x = 23,312,131.61/4,974.16
  6. Step 6: Final answer
    x = 4,686.65

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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.