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Finding the Fourth Proportional to 6,881.88, 10,322.82 and 2,775

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Solution

The fourth proportional to 6,881.88, 10,322.82 and 2,775 is: 4,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.88 : 10,322.82 = 2,775 : x
  2. Step 2: Convert to fraction form
    6,881.88/10,322.82 = 2,775/x
  3. Step 3: Cross multiply
    6,881.88x = 10,322.82 × 2,775
  4. Step 4: Simplify right side
    6,881.88x = 28,645,825.50
  5. Step 5: Solve for x
    x = 28,645,825.50/6,881.88
  6. Step 6: Final answer
    x = 4,162.50

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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.