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Finding the Fourth Proportional to 4,902.68, 6,764.64 and 3,013.76

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Solution

The fourth proportional to 4,902.68, 6,764.64 and 3,013.76 is: 4,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.68 : 6,764.64 = 3,013.76 : x
  2. Step 2: Convert to fraction form
    4,902.68/6,764.64 = 3,013.76/x
  3. Step 3: Cross multiply
    4,902.68x = 6,764.64 × 3,013.76
  4. Step 4: Simplify right side
    4,902.68x = 20,387,001.45
  5. Step 5: Solve for x
    x = 20,387,001.45/4,902.68
  6. Step 6: Final answer
    x = 4,158.34

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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.