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Finding the Fourth Proportional to 8,202.51, 12,304.94 and 2,654.01

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Solution

The fourth proportional to 8,202.51, 12,304.94 and 2,654.01 is: 3,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.51 : 12,304.94 = 2,654.01 : x
  2. Step 2: Convert to fraction form
    8,202.51/12,304.94 = 2,654.01/x
  3. Step 3: Cross multiply
    8,202.51x = 12,304.94 × 2,654.01
  4. Step 4: Simplify right side
    8,202.51x = 32,657,420.54
  5. Step 5: Solve for x
    x = 32,657,420.54/8,202.51
  6. Step 6: Final answer
    x = 3,981.39

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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.