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Finding the Fourth Proportional to 9,551.65, 14,327.42 and 6,546.70

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Solution

The fourth proportional to 9,551.65, 14,327.42 and 6,546.70 is: 9,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.65 : 14,327.42 = 6,546.70 : x
  2. Step 2: Convert to fraction form
    9,551.65/14,327.42 = 6,546.70/x
  3. Step 3: Cross multiply
    9,551.65x = 14,327.42 × 6,546.70
  4. Step 4: Simplify right side
    9,551.65x = 93,797,251.96
  5. Step 5: Solve for x
    x = 93,797,251.96/9,551.65
  6. Step 6: Final answer
    x = 9,820.01

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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.