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Finding the Fourth Proportional to 6,919.20, 10,376.88 and 1,987.50

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Solution

The fourth proportional to 6,919.20, 10,376.88 and 1,987.50 is: 2,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.20 : 10,376.88 = 1,987.50 : x
  2. Step 2: Convert to fraction form
    6,919.20/10,376.88 = 1,987.50/x
  3. Step 3: Cross multiply
    6,919.20x = 10,376.88 × 1,987.50
  4. Step 4: Simplify right side
    6,919.20x = 20,624,049
  5. Step 5: Solve for x
    x = 20,624,049/6,919.20
  6. Step 6: Final answer
    x = 2,980.70

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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.