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Finding the Fourth Proportional to 6,466, 8,923.08 and 3,522

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Solution

The fourth proportional to 6,466, 8,923.08 and 3,522 is: 4,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466 : 8,923.08 = 3,522 : x
  2. Step 2: Convert to fraction form
    6,466/8,923.08 = 3,522/x
  3. Step 3: Cross multiply
    6,466x = 8,923.08 × 3,522
  4. Step 4: Simplify right side
    6,466x = 31,427,087.76
  5. Step 5: Solve for x
    x = 31,427,087.76/6,466
  6. Step 6: Final answer
    x = 4,860.36

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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.