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Finding the Fourth Proportional to 9,257.70, 13,886.55 and 3,101.70

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Solution

The fourth proportional to 9,257.70, 13,886.55 and 3,101.70 is: 4,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.70 : 13,886.55 = 3,101.70 : x
  2. Step 2: Convert to fraction form
    9,257.70/13,886.55 = 3,101.70/x
  3. Step 3: Cross multiply
    9,257.70x = 13,886.55 × 3,101.70
  4. Step 4: Simplify right side
    9,257.70x = 43,071,912.14
  5. Step 5: Solve for x
    x = 43,071,912.14/9,257.70
  6. Step 6: Final answer
    x = 4,652.55

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Similar ratio
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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.