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Finding the Fourth Proportional to 22,654.12, 33,970.95 and 6,853.06

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Solution

The fourth proportional to 22,654.12, 33,970.95 and 6,853.06 is: 10,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.12 : 33,970.95 = 6,853.06 : x
  2. Step 2: Convert to fraction form
    22,654.12/33,970.95 = 6,853.06/x
  3. Step 3: Cross multiply
    22,654.12x = 33,970.95 × 6,853.06
  4. Step 4: Simplify right side
    22,654.12x = 232,804,958.61
  5. Step 5: Solve for x
    x = 232,804,958.61/22,654.12
  6. Step 6: Final answer
    x = 10,276.50

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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.