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Finding the Fourth Proportional to 7,654.84, 11,486.65 and 2,974.25

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Solution

The fourth proportional to 7,654.84, 11,486.65 and 2,974.25 is: 4,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.84 : 11,486.65 = 2,974.25 : x
  2. Step 2: Convert to fraction form
    7,654.84/11,486.65 = 2,974.25/x
  3. Step 3: Cross multiply
    7,654.84x = 11,486.65 × 2,974.25
  4. Step 4: Simplify right side
    7,654.84x = 34,164,168.76
  5. Step 5: Solve for x
    x = 34,164,168.76/7,654.84
  6. Step 6: Final answer
    x = 4,463.08

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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.