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Finding the Fourth Proportional to 6,498, 9,692.10 and 5,916.24

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Solution

The fourth proportional to 6,498, 9,692.10 and 5,916.24 is: 8,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498 : 9,692.10 = 5,916.24 : x
  2. Step 2: Convert to fraction form
    6,498/9,692.10 = 5,916.24/x
  3. Step 3: Cross multiply
    6,498x = 9,692.10 × 5,916.24
  4. Step 4: Simplify right side
    6,498x = 57,340,789.70
  5. Step 5: Solve for x
    x = 57,340,789.70/6,498
  6. Step 6: Final answer
    x = 8,824.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.