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Finding the Fourth Proportional to 4,954.85, 7,432.68 and 1,667.06

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Solution

The fourth proportional to 4,954.85, 7,432.68 and 1,667.06 is: 2,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.85 : 7,432.68 = 1,667.06 : x
  2. Step 2: Convert to fraction form
    4,954.85/7,432.68 = 1,667.06/x
  3. Step 3: Cross multiply
    4,954.85x = 7,432.68 × 1,667.06
  4. Step 4: Simplify right side
    4,954.85x = 12,390,678.02
  5. Step 5: Solve for x
    x = 12,390,678.02/4,954.85
  6. Step 6: Final answer
    x = 2,500.72

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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.