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Finding the Fourth Proportional to 10,097.66, 13,932.63 and 6,369.50

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Solution

The fourth proportional to 10,097.66, 13,932.63 and 6,369.50 is: 8,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.66 : 13,932.63 = 6,369.50 : x
  2. Step 2: Convert to fraction form
    10,097.66/13,932.63 = 6,369.50/x
  3. Step 3: Cross multiply
    10,097.66x = 13,932.63 × 6,369.50
  4. Step 4: Simplify right side
    10,097.66x = 88,743,886.79
  5. Step 5: Solve for x
    x = 88,743,886.79/10,097.66
  6. Step 6: Final answer
    x = 8,788.56

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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.