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Finding the Fourth Proportional to 8,292.56, 12,434.90 and 3,023.84

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Solution

The fourth proportional to 8,292.56, 12,434.90 and 3,023.84 is: 4,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.56 : 12,434.90 = 3,023.84 : x
  2. Step 2: Convert to fraction form
    8,292.56/12,434.90 = 3,023.84/x
  3. Step 3: Cross multiply
    8,292.56x = 12,434.90 × 3,023.84
  4. Step 4: Simplify right side
    8,292.56x = 37,601,148.02
  5. Step 5: Solve for x
    x = 37,601,148.02/8,292.56
  6. Step 6: Final answer
    x = 4,534.32

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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.