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Finding the Fourth Proportional to 8,291.64, 12,423.61 and 5,822.04

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Solution

The fourth proportional to 8,291.64, 12,423.61 and 5,822.04 is: 8,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.64 : 12,423.61 = 5,822.04 : x
  2. Step 2: Convert to fraction form
    8,291.64/12,423.61 = 5,822.04/x
  3. Step 3: Cross multiply
    8,291.64x = 12,423.61 × 5,822.04
  4. Step 4: Simplify right side
    8,291.64x = 72,330,754.36
  5. Step 5: Solve for x
    x = 72,330,754.36/8,291.64
  6. Step 6: Final answer
    x = 8,723.34

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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.