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Finding the Fourth Proportional to 7,848.29, 11,772.14 and 2,654.17

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Solution

The fourth proportional to 7,848.29, 11,772.14 and 2,654.17 is: 3,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.29 : 11,772.14 = 2,654.17 : x
  2. Step 2: Convert to fraction form
    7,848.29/11,772.14 = 2,654.17/x
  3. Step 3: Cross multiply
    7,848.29x = 11,772.14 × 2,654.17
  4. Step 4: Simplify right side
    7,848.29x = 31,245,218.12
  5. Step 5: Solve for x
    x = 31,245,218.12/7,848.29
  6. Step 6: Final answer
    x = 3,981.15

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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.