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Finding the Fourth Proportional to 5,667.40, 7,824.90 and 4,338.76

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Solution

The fourth proportional to 5,667.40, 7,824.90 and 4,338.76 is: 5,990.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.40 : 7,824.90 = 4,338.76 : x
  2. Step 2: Convert to fraction form
    5,667.40/7,824.90 = 4,338.76/x
  3. Step 3: Cross multiply
    5,667.40x = 7,824.90 × 4,338.76
  4. Step 4: Simplify right side
    5,667.40x = 33,950,363.12
  5. Step 5: Solve for x
    x = 33,950,363.12/5,667.40
  6. Step 6: Final answer
    x = 5,990.47

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Half scale
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Double 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.