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Finding the Fourth Proportional to 9,122.58, 13,683.87 and 2,966.58

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Solution

The fourth proportional to 9,122.58, 13,683.87 and 2,966.58 is: 4,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.58 : 13,683.87 = 2,966.58 : x
  2. Step 2: Convert to fraction form
    9,122.58/13,683.87 = 2,966.58/x
  3. Step 3: Cross multiply
    9,122.58x = 13,683.87 × 2,966.58
  4. Step 4: Simplify right side
    9,122.58x = 40,594,295.06
  5. Step 5: Solve for x
    x = 40,594,295.06/9,122.58
  6. Step 6: Final answer
    x = 4,449.87

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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.