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Finding the Fourth Proportional to 6,394, 9,580.08 and 4,535.92

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Solution

The fourth proportional to 6,394, 9,580.08 and 4,535.92 is: 6,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394 : 9,580.08 = 4,535.92 : x
  2. Step 2: Convert to fraction form
    6,394/9,580.08 = 4,535.92/x
  3. Step 3: Cross multiply
    6,394x = 9,580.08 × 4,535.92
  4. Step 4: Simplify right side
    6,394x = 43,454,476.47
  5. Step 5: Solve for x
    x = 43,454,476.47/6,394
  6. Step 6: Final answer
    x = 6,796.13

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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.