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Finding the Fourth Proportional to 7,494.88, 11,242.28 and 1,948.24

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Solution

The fourth proportional to 7,494.88, 11,242.28 and 1,948.24 is: 2,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.88 : 11,242.28 = 1,948.24 : x
  2. Step 2: Convert to fraction form
    7,494.88/11,242.28 = 1,948.24/x
  3. Step 3: Cross multiply
    7,494.88x = 11,242.28 × 1,948.24
  4. Step 4: Simplify right side
    7,494.88x = 21,902,659.59
  5. Step 5: Solve for x
    x = 21,902,659.59/7,494.88
  6. Step 6: Final answer
    x = 2,922.35

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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.