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Finding the Fourth Proportional to 7,902.60, 10,903.52 and 4,546.48

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Solution

The fourth proportional to 7,902.60, 10,903.52 and 4,546.48 is: 6,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.60 : 10,903.52 = 4,546.48 : x
  2. Step 2: Convert to fraction form
    7,902.60/10,903.52 = 4,546.48/x
  3. Step 3: Cross multiply
    7,902.60x = 10,903.52 × 4,546.48
  4. Step 4: Simplify right side
    7,902.60x = 49,572,635.61
  5. Step 5: Solve for x
    x = 49,572,635.61/7,902.60
  6. Step 6: Final answer
    x = 6,272.95

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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.