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Finding the Fourth Proportional to 4,999.24, 7,499.12 and 1,301.48

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Solution

The fourth proportional to 4,999.24, 7,499.12 and 1,301.48 is: 1,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.24 : 7,499.12 = 1,301.48 : x
  2. Step 2: Convert to fraction form
    4,999.24/7,499.12 = 1,301.48/x
  3. Step 3: Cross multiply
    4,999.24x = 7,499.12 × 1,301.48
  4. Step 4: Simplify right side
    4,999.24x = 9,759,954.70
  5. Step 5: Solve for x
    x = 9,759,954.70/4,999.24
  6. Step 6: Final answer
    x = 1,952.29

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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.