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Finding the Fourth Proportional to 9,229.81, 13,848.16 and 5,534.69

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Solution

The fourth proportional to 9,229.81, 13,848.16 and 5,534.69 is: 8,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.81 : 13,848.16 = 5,534.69 : x
  2. Step 2: Convert to fraction form
    9,229.81/13,848.16 = 5,534.69/x
  3. Step 3: Cross multiply
    9,229.81x = 13,848.16 × 5,534.69
  4. Step 4: Simplify right side
    9,229.81x = 76,645,245.00
  5. Step 5: Solve for x
    x = 76,645,245.00/9,229.81
  6. Step 6: Final answer
    x = 8,304.10

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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.