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Finding the Fourth Proportional to 9,281.97, 13,922.94 and 4,348.14

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Solution

The fourth proportional to 9,281.97, 13,922.94 and 4,348.14 is: 6,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.97 : 13,922.94 = 4,348.14 : x
  2. Step 2: Convert to fraction form
    9,281.97/13,922.94 = 4,348.14/x
  3. Step 3: Cross multiply
    9,281.97x = 13,922.94 × 4,348.14
  4. Step 4: Simplify right side
    9,281.97x = 60,538,892.33
  5. Step 5: Solve for x
    x = 60,538,892.33/9,281.97
  6. Step 6: Final answer
    x = 6,522.20

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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.