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Finding the Fourth Proportional to 3,969.76, 5,950.78 and 1,470.24

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Solution

The fourth proportional to 3,969.76, 5,950.78 and 1,470.24 is: 2,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.76 : 5,950.78 = 1,470.24 : x
  2. Step 2: Convert to fraction form
    3,969.76/5,950.78 = 1,470.24/x
  3. Step 3: Cross multiply
    3,969.76x = 5,950.78 × 1,470.24
  4. Step 4: Simplify right side
    3,969.76x = 8,749,074.79
  5. Step 5: Solve for x
    x = 8,749,074.79/3,969.76
  6. Step 6: Final answer
    x = 2,203.93

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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.