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Finding the Fourth Proportional to 8,594.42, 12,890.80 and 2,749.46

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Solution

The fourth proportional to 8,594.42, 12,890.80 and 2,749.46 is: 4,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.42 : 12,890.80 = 2,749.46 : x
  2. Step 2: Convert to fraction form
    8,594.42/12,890.80 = 2,749.46/x
  3. Step 3: Cross multiply
    8,594.42x = 12,890.80 × 2,749.46
  4. Step 4: Simplify right side
    8,594.42x = 35,442,738.97
  5. Step 5: Solve for x
    x = 35,442,738.97/8,594.42
  6. Step 6: Final answer
    x = 4,123.92

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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.