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Finding the Fourth Proportional to 8,042.29, 12,050.07 and 7,738.84

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Solution

The fourth proportional to 8,042.29, 12,050.07 and 7,738.84 is: 11,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.29 : 12,050.07 = 7,738.84 : x
  2. Step 2: Convert to fraction form
    8,042.29/12,050.07 = 7,738.84/x
  3. Step 3: Cross multiply
    8,042.29x = 12,050.07 × 7,738.84
  4. Step 4: Simplify right side
    8,042.29x = 93,253,549.76
  5. Step 5: Solve for x
    x = 93,253,549.76/8,042.29
  6. Step 6: Final answer
    x = 11,595.40

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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.