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Finding the Fourth Proportional to 9,248.12, 13,902.24 and 7,419.24

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Solution

The fourth proportional to 9,248.12, 13,902.24 and 7,419.24 is: 11,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.12 : 13,902.24 = 7,419.24 : x
  2. Step 2: Convert to fraction form
    9,248.12/13,902.24 = 7,419.24/x
  3. Step 3: Cross multiply
    9,248.12x = 13,902.24 × 7,419.24
  4. Step 4: Simplify right side
    9,248.12x = 103,144,030.79
  5. Step 5: Solve for x
    x = 103,144,030.79/9,248.12
  6. Step 6: Final answer
    x = 11,152.98

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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.