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Finding the Fourth Proportional to 5,311.74, 7,966.56 and 5,048.32

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Solution

The fourth proportional to 5,311.74, 7,966.56 and 5,048.32 is: 7,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.74 : 7,966.56 = 5,048.32 : x
  2. Step 2: Convert to fraction form
    5,311.74/7,966.56 = 5,048.32/x
  3. Step 3: Cross multiply
    5,311.74x = 7,966.56 × 5,048.32
  4. Step 4: Simplify right side
    5,311.74x = 40,217,744.18
  5. Step 5: Solve for x
    x = 40,217,744.18/5,311.74
  6. Step 6: Final answer
    x = 7,571.48

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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.