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Finding the Fourth Proportional to 6,848.88, 9,451.30 and 3,864.77

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Solution

The fourth proportional to 6,848.88, 9,451.30 and 3,864.77 is: 5,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.88 : 9,451.30 = 3,864.77 : x
  2. Step 2: Convert to fraction form
    6,848.88/9,451.30 = 3,864.77/x
  3. Step 3: Cross multiply
    6,848.88x = 9,451.30 × 3,864.77
  4. Step 4: Simplify right side
    6,848.88x = 36,527,081.38
  5. Step 5: Solve for x
    x = 36,527,081.38/6,848.88
  6. Step 6: Final answer
    x = 5,333.29

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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.