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Finding the Fourth Proportional to 8,997.91, 12,409.06 and 5,641.09

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Solution

The fourth proportional to 8,997.91, 12,409.06 and 5,641.09 is: 7,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.91 : 12,409.06 = 5,641.09 : x
  2. Step 2: Convert to fraction form
    8,997.91/12,409.06 = 5,641.09/x
  3. Step 3: Cross multiply
    8,997.91x = 12,409.06 × 5,641.09
  4. Step 4: Simplify right side
    8,997.91x = 70,000,624.28
  5. Step 5: Solve for x
    x = 70,000,624.28/8,997.91
  6. Step 6: Final answer
    x = 7,779.65

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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.