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Finding the Fourth Proportional to 4,871.73, 7,306.02 and 1,584.12

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Solution

The fourth proportional to 4,871.73, 7,306.02 and 1,584.12 is: 2,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.73 : 7,306.02 = 1,584.12 : x
  2. Step 2: Convert to fraction form
    4,871.73/7,306.02 = 1,584.12/x
  3. Step 3: Cross multiply
    4,871.73x = 7,306.02 × 1,584.12
  4. Step 4: Simplify right side
    4,871.73x = 11,573,612.40
  5. Step 5: Solve for x
    x = 11,573,612.40/4,871.73
  6. Step 6: Final answer
    x = 2,375.67

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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.