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Finding the Fourth Proportional to 13,841.42, 19,101.49 and 7,873.74

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Solution

The fourth proportional to 13,841.42, 19,101.49 and 7,873.74 is: 10,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.42 : 19,101.49 = 7,873.74 : x
  2. Step 2: Convert to fraction form
    13,841.42/19,101.49 = 7,873.74/x
  3. Step 3: Cross multiply
    13,841.42x = 19,101.49 × 7,873.74
  4. Step 4: Simplify right side
    13,841.42x = 150,400,146.19
  5. Step 5: Solve for x
    x = 150,400,146.19/13,841.42
  6. Step 6: Final answer
    x = 10,865.95

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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.