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Finding the Fourth Proportional to 7,005.78, 9,667.95 and 3,861.90

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Solution

The fourth proportional to 7,005.78, 9,667.95 and 3,861.90 is: 5,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.78 : 9,667.95 = 3,861.90 : x
  2. Step 2: Convert to fraction form
    7,005.78/9,667.95 = 3,861.90/x
  3. Step 3: Cross multiply
    7,005.78x = 9,667.95 × 3,861.90
  4. Step 4: Simplify right side
    7,005.78x = 37,336,656.11
  5. Step 5: Solve for x
    x = 37,336,656.11/7,005.78
  6. Step 6: Final answer
    x = 5,329.41

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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.