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Finding the Fourth Proportional to 7,006.64, 9,667.95 and 4,173.66

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Solution

The fourth proportional to 7,006.64, 9,667.95 and 4,173.66 is: 5,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.64 : 9,667.95 = 4,173.66 : x
  2. Step 2: Convert to fraction form
    7,006.64/9,667.95 = 4,173.66/x
  3. Step 3: Cross multiply
    7,006.64x = 9,667.95 × 4,173.66
  4. Step 4: Simplify right side
    7,006.64x = 40,350,736.20
  5. Step 5: Solve for x
    x = 40,350,736.20/7,006.64
  6. Step 6: Final answer
    x = 5,758.93

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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.