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Finding the Fourth Proportional to 5,119.62, 7,626.59 and 4,964.74

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Solution

The fourth proportional to 5,119.62, 7,626.59 and 4,964.74 is: 7,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.62 : 7,626.59 = 4,964.74 : x
  2. Step 2: Convert to fraction form
    5,119.62/7,626.59 = 4,964.74/x
  3. Step 3: Cross multiply
    5,119.62x = 7,626.59 × 4,964.74
  4. Step 4: Simplify right side
    5,119.62x = 37,864,011.61
  5. Step 5: Solve for x
    x = 37,864,011.61/5,119.62
  6. Step 6: Final answer
    x = 7,395.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.