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Finding the Fourth Proportional to 6,532.80, 9,811.80 and 5,597.86

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Solution

The fourth proportional to 6,532.80, 9,811.80 and 5,597.86 is: 8,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.80 : 9,811.80 = 5,597.86 : x
  2. Step 2: Convert to fraction form
    6,532.80/9,811.80 = 5,597.86/x
  3. Step 3: Cross multiply
    6,532.80x = 9,811.80 × 5,597.86
  4. Step 4: Simplify right side
    6,532.80x = 54,925,058.22
  5. Step 5: Solve for x
    x = 54,925,058.22/6,532.80
  6. Step 6: Final answer
    x = 8,407.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.