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Finding the Fourth Proportional to 8,999.64, 12,422.16 and 5,856.30

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Solution

The fourth proportional to 8,999.64, 12,422.16 and 5,856.30 is: 8,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,999.64 : 12,422.16 = 5,856.30 : x
  2. Step 2: Convert to fraction form
    8,999.64/12,422.16 = 5,856.30/x
  3. Step 3: Cross multiply
    8,999.64x = 12,422.16 × 5,856.30
  4. Step 4: Simplify right side
    8,999.64x = 72,747,895.61
  5. Step 5: Solve for x
    x = 72,747,895.61/8,999.64
  6. Step 6: Final answer
    x = 8,083.42

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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.