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Finding the Fourth Proportional to 8,999.10, 13,498.65 and 8,027.10

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Solution

The fourth proportional to 8,999.10, 13,498.65 and 8,027.10 is: 12,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,999.10 : 13,498.65 = 8,027.10 : x
  2. Step 2: Convert to fraction form
    8,999.10/13,498.65 = 8,027.10/x
  3. Step 3: Cross multiply
    8,999.10x = 13,498.65 × 8,027.10
  4. Step 4: Simplify right side
    8,999.10x = 108,355,013.42
  5. Step 5: Solve for x
    x = 108,355,013.42/8,999.10
  6. Step 6: Final answer
    x = 12,040.65

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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.