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Finding the Fourth Proportional to 12,560.78, 17,333.88 and 6,971.78

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Solution

The fourth proportional to 12,560.78, 17,333.88 and 6,971.78 is: 9,621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.78 : 17,333.88 = 6,971.78 : x
  2. Step 2: Convert to fraction form
    12,560.78/17,333.88 = 6,971.78/x
  3. Step 3: Cross multiply
    12,560.78x = 17,333.88 × 6,971.78
  4. Step 4: Simplify right side
    12,560.78x = 120,847,997.91
  5. Step 5: Solve for x
    x = 120,847,997.91/12,560.78
  6. Step 6: Final answer
    x = 9,621.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.