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Finding the Fourth Proportional to 7,593.84, 10,476.72 and 6,649.38

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Solution

The fourth proportional to 7,593.84, 10,476.72 and 6,649.38 is: 9,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,593.84 : 10,476.72 = 6,649.38 : x
  2. Step 2: Convert to fraction form
    7,593.84/10,476.72 = 6,649.38/x
  3. Step 3: Cross multiply
    7,593.84x = 10,476.72 × 6,649.38
  4. Step 4: Simplify right side
    7,593.84x = 69,663,692.43
  5. Step 5: Solve for x
    x = 69,663,692.43/7,593.84
  6. Step 6: Final answer
    x = 9,173.71

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Half scale
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1.5x scale

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.