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Finding the Fourth Proportional to 4,667.61, 6,994.13 and 3,971.42

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Solution

The fourth proportional to 4,667.61, 6,994.13 and 3,971.42 is: 5,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.61 : 6,994.13 = 3,971.42 : x
  2. Step 2: Convert to fraction form
    4,667.61/6,994.13 = 3,971.42/x
  3. Step 3: Cross multiply
    4,667.61x = 6,994.13 × 3,971.42
  4. Step 4: Simplify right side
    4,667.61x = 27,776,614.06
  5. Step 5: Solve for x
    x = 27,776,614.06/4,667.61
  6. Step 6: Final answer
    x = 5,950.92

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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.