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Finding the Fourth Proportional to 6,289.70, 9,434.56 and 1,609.72

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Solution

The fourth proportional to 6,289.70, 9,434.56 and 1,609.72 is: 2,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.70 : 9,434.56 = 1,609.72 : x
  2. Step 2: Convert to fraction form
    6,289.70/9,434.56 = 1,609.72/x
  3. Step 3: Cross multiply
    6,289.70x = 9,434.56 × 1,609.72
  4. Step 4: Simplify right side
    6,289.70x = 15,186,999.92
  5. Step 5: Solve for x
    x = 15,186,999.92/6,289.70
  6. Step 6: Final answer
    x = 2,414.58

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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.