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Finding the Fourth Proportional to 11,595.77, 16,002.17 and 6,559.89

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Solution

The fourth proportional to 11,595.77, 16,002.17 and 6,559.89 is: 9,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.77 : 16,002.17 = 6,559.89 : x
  2. Step 2: Convert to fraction form
    11,595.77/16,002.17 = 6,559.89/x
  3. Step 3: Cross multiply
    11,595.77x = 16,002.17 × 6,559.89
  4. Step 4: Simplify right side
    11,595.77x = 104,972,491.36
  5. Step 5: Solve for x
    x = 104,972,491.36/11,595.77
  6. Step 6: Final answer
    x = 9,052.65

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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.