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Finding the Fourth Proportional to 9,258.72, 13,897.84 and 9,049.76

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Solution

The fourth proportional to 9,258.72, 13,897.84 and 9,049.76 is: 13,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.72 : 13,897.84 = 9,049.76 : x
  2. Step 2: Convert to fraction form
    9,258.72/13,897.84 = 9,049.76/x
  3. Step 3: Cross multiply
    9,258.72x = 13,897.84 × 9,049.76
  4. Step 4: Simplify right side
    9,258.72x = 125,772,116.52
  5. Step 5: Solve for x
    x = 125,772,116.52/9,258.72
  6. Step 6: Final answer
    x = 13,584.18

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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.