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Finding the Fourth Proportional to 4,902.12, 7,352.64 and 1,615.14

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Solution

The fourth proportional to 4,902.12, 7,352.64 and 1,615.14 is: 2,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.12 : 7,352.64 = 1,615.14 : x
  2. Step 2: Convert to fraction form
    4,902.12/7,352.64 = 1,615.14/x
  3. Step 3: Cross multiply
    4,902.12x = 7,352.64 × 1,615.14
  4. Step 4: Simplify right side
    4,902.12x = 11,875,542.97
  5. Step 5: Solve for x
    x = 11,875,542.97/4,902.12
  6. Step 6: Final answer
    x = 2,422.53

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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.