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Finding the Fourth Proportional to 6,565.95, 9,840.71 and 3,279.96

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Solution

The fourth proportional to 6,565.95, 9,840.71 and 3,279.96 is: 4,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.95 : 9,840.71 = 3,279.96 : x
  2. Step 2: Convert to fraction form
    6,565.95/9,840.71 = 3,279.96/x
  3. Step 3: Cross multiply
    6,565.95x = 9,840.71 × 3,279.96
  4. Step 4: Simplify right side
    6,565.95x = 32,277,143.37
  5. Step 5: Solve for x
    x = 32,277,143.37/6,565.95
  6. Step 6: Final answer
    x = 4,915.84

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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.