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Finding the Fourth Proportional to 9,122.68, 12,586.92 and 5,584.60

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Solution

The fourth proportional to 9,122.68, 12,586.92 and 5,584.60 is: 7,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.68 : 12,586.92 = 5,584.60 : x
  2. Step 2: Convert to fraction form
    9,122.68/12,586.92 = 5,584.60/x
  3. Step 3: Cross multiply
    9,122.68x = 12,586.92 × 5,584.60
  4. Step 4: Simplify right side
    9,122.68x = 70,292,913.43
  5. Step 5: Solve for x
    x = 70,292,913.43/9,122.68
  6. Step 6: Final answer
    x = 7,705.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.