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Finding the Fourth Proportional to 7,641.03, 11,462.76 and 2,709.57

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Solution

The fourth proportional to 7,641.03, 11,462.76 and 2,709.57 is: 4,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.03 : 11,462.76 = 2,709.57 : x
  2. Step 2: Convert to fraction form
    7,641.03/11,462.76 = 2,709.57/x
  3. Step 3: Cross multiply
    7,641.03x = 11,462.76 × 2,709.57
  4. Step 4: Simplify right side
    7,641.03x = 31,059,150.61
  5. Step 5: Solve for x
    x = 31,059,150.61/7,641.03
  6. Step 6: Final answer
    x = 4,064.79

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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.