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Finding the Fourth Proportional to 12,753.62, 17,603.46 and 8,277.10

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Solution

The fourth proportional to 12,753.62, 17,603.46 and 8,277.10 is: 11,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.62 : 17,603.46 = 8,277.10 : x
  2. Step 2: Convert to fraction form
    12,753.62/17,603.46 = 8,277.10/x
  3. Step 3: Cross multiply
    12,753.62x = 17,603.46 × 8,277.10
  4. Step 4: Simplify right side
    12,753.62x = 145,705,598.77
  5. Step 5: Solve for x
    x = 145,705,598.77/12,753.62
  6. Step 6: Final answer
    x = 11,424.65

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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.