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Finding the Fourth Proportional to 9,627.66, 13,301.82 and 7,654.50

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Solution

The fourth proportional to 9,627.66, 13,301.82 and 7,654.50 is: 10,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.66 : 13,301.82 = 7,654.50 : x
  2. Step 2: Convert to fraction form
    9,627.66/13,301.82 = 7,654.50/x
  3. Step 3: Cross multiply
    9,627.66x = 13,301.82 × 7,654.50
  4. Step 4: Simplify right side
    9,627.66x = 101,818,781.19
  5. Step 5: Solve for x
    x = 101,818,781.19/9,627.66
  6. Step 6: Final answer
    x = 10,575.65

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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.