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Finding the Fourth Proportional to 11,595.71, 16,002.09 and 6,559.83

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Solution

The fourth proportional to 11,595.71, 16,002.09 and 6,559.83 is: 9,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.71 : 16,002.09 = 6,559.83 : x
  2. Step 2: Convert to fraction form
    11,595.71/16,002.09 = 6,559.83/x
  3. Step 3: Cross multiply
    11,595.71x = 16,002.09 × 6,559.83
  4. Step 4: Simplify right side
    11,595.71x = 104,970,877.24
  5. Step 5: Solve for x
    x = 104,970,877.24/11,595.71
  6. Step 6: Final answer
    x = 9,052.56

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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.