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Finding the Fourth Proportional to 9,878.76, 13,625.01 and 6,342.30

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Solution

The fourth proportional to 9,878.76, 13,625.01 and 6,342.30 is: 8,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.76 : 13,625.01 = 6,342.30 : x
  2. Step 2: Convert to fraction form
    9,878.76/13,625.01 = 6,342.30/x
  3. Step 3: Cross multiply
    9,878.76x = 13,625.01 × 6,342.30
  4. Step 4: Simplify right side
    9,878.76x = 86,413,900.92
  5. Step 5: Solve for x
    x = 86,413,900.92/9,878.76
  6. Step 6: Final answer
    x = 8,747.44

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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.