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Finding the Fourth Proportional to 7,729.60, 10,658.88 and 6,048

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Solution

The fourth proportional to 7,729.60, 10,658.88 and 6,048 is: 8,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.60 : 10,658.88 = 6,048 : x
  2. Step 2: Convert to fraction form
    7,729.60/10,658.88 = 6,048/x
  3. Step 3: Cross multiply
    7,729.60x = 10,658.88 × 6,048
  4. Step 4: Simplify right side
    7,729.60x = 64,464,906.24
  5. Step 5: Solve for x
    x = 64,464,906.24/7,729.60
  6. Step 6: Final answer
    x = 8,340.01

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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.