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Finding the Fourth Proportional to 11,559.76, 15,951.27 and 6,524.26

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Solution

The fourth proportional to 11,559.76, 15,951.27 and 6,524.26 is: 9,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.76 : 15,951.27 = 6,524.26 : x
  2. Step 2: Convert to fraction form
    11,559.76/15,951.27 = 6,524.26/x
  3. Step 3: Cross multiply
    11,559.76x = 15,951.27 × 6,524.26
  4. Step 4: Simplify right side
    11,559.76x = 104,070,232.81
  5. Step 5: Solve for x
    x = 104,070,232.81/11,559.76
  6. Step 6: Final answer
    x = 9,002.80

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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.