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Finding the Fourth Proportional to 10,097.68, 13,941.72 and 6,322.48

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Solution

The fourth proportional to 10,097.68, 13,941.72 and 6,322.48 is: 8,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.68 : 13,941.72 = 6,322.48 : x
  2. Step 2: Convert to fraction form
    10,097.68/13,941.72 = 6,322.48/x
  3. Step 3: Cross multiply
    10,097.68x = 13,941.72 × 6,322.48
  4. Step 4: Simplify right side
    10,097.68x = 88,146,245.87
  5. Step 5: Solve for x
    x = 88,146,245.87/10,097.68
  6. Step 6: Final answer
    x = 8,729.36

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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.