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Finding the Fourth Proportional to 10,040.65, 13,856.08 and 5,791.64

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Solution

The fourth proportional to 10,040.65, 13,856.08 and 5,791.64 is: 7,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.65 : 13,856.08 = 5,791.64 : x
  2. Step 2: Convert to fraction form
    10,040.65/13,856.08 = 5,791.64/x
  3. Step 3: Cross multiply
    10,040.65x = 13,856.08 × 5,791.64
  4. Step 4: Simplify right side
    10,040.65x = 80,249,432.85
  5. Step 5: Solve for x
    x = 80,249,432.85/10,040.65
  6. Step 6: Final answer
    x = 7,992.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.