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Finding the Fourth Proportional to 12,841.68, 17,716.32 and 7,804.02

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Solution

The fourth proportional to 12,841.68, 17,716.32 and 7,804.02 is: 10,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.68 : 17,716.32 = 7,804.02 : x
  2. Step 2: Convert to fraction form
    12,841.68/17,716.32 = 7,804.02/x
  3. Step 3: Cross multiply
    12,841.68x = 17,716.32 × 7,804.02
  4. Step 4: Simplify right side
    12,841.68x = 138,258,515.61
  5. Step 5: Solve for x
    x = 138,258,515.61/12,841.68
  6. Step 6: Final answer
    x = 10,766.39

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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.