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Finding the Fourth Proportional to 8,659.77, 11,947.65 and 5,299.08

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Solution

The fourth proportional to 8,659.77, 11,947.65 and 5,299.08 is: 7,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.77 : 11,947.65 = 5,299.08 : x
  2. Step 2: Convert to fraction form
    8,659.77/11,947.65 = 5,299.08/x
  3. Step 3: Cross multiply
    8,659.77x = 11,947.65 × 5,299.08
  4. Step 4: Simplify right side
    8,659.77x = 63,311,553.16
  5. Step 5: Solve for x
    x = 63,311,553.16/8,659.77
  6. Step 6: Final answer
    x = 7,311.00

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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.