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Finding the Fourth Proportional to 6,523, 9,767.98 and 3,603.76

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Solution

The fourth proportional to 6,523, 9,767.98 and 3,603.76 is: 5,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523 : 9,767.98 = 3,603.76 : x
  2. Step 2: Convert to fraction form
    6,523/9,767.98 = 3,603.76/x
  3. Step 3: Cross multiply
    6,523x = 9,767.98 × 3,603.76
  4. Step 4: Simplify right side
    6,523x = 35,201,455.60
  5. Step 5: Solve for x
    x = 35,201,455.60/6,523
  6. Step 6: Final answer
    x = 5,396.51

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1.5x scale

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.