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Finding the Fourth Proportional to 9,415.70, 14,123.55 and 4,231.70

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Solution

The fourth proportional to 9,415.70, 14,123.55 and 4,231.70 is: 6,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.70 : 14,123.55 = 4,231.70 : x
  2. Step 2: Convert to fraction form
    9,415.70/14,123.55 = 4,231.70/x
  3. Step 3: Cross multiply
    9,415.70x = 14,123.55 × 4,231.70
  4. Step 4: Simplify right side
    9,415.70x = 59,766,626.54
  5. Step 5: Solve for x
    x = 59,766,626.54/9,415.70
  6. Step 6: Final answer
    x = 6,347.55

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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.