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Finding the Fourth Proportional to 4,948.92, 7,415.70 and 2,024.76

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Solution

The fourth proportional to 4,948.92, 7,415.70 and 2,024.76 is: 3,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.92 : 7,415.70 = 2,024.76 : x
  2. Step 2: Convert to fraction form
    4,948.92/7,415.70 = 2,024.76/x
  3. Step 3: Cross multiply
    4,948.92x = 7,415.70 × 2,024.76
  4. Step 4: Simplify right side
    4,948.92x = 15,015,012.73
  5. Step 5: Solve for x
    x = 15,015,012.73/4,948.92
  6. Step 6: Final answer
    x = 3,034.00

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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.