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Finding the Fourth Proportional to 33,870.78, 50,806.14 and 9,246.78

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Solution

The fourth proportional to 33,870.78, 50,806.14 and 9,246.78 is: 13,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,870.78 : 50,806.14 = 9,246.78 : x
  2. Step 2: Convert to fraction form
    33,870.78/50,806.14 = 9,246.78/x
  3. Step 3: Cross multiply
    33,870.78x = 50,806.14 × 9,246.78
  4. Step 4: Simplify right side
    33,870.78x = 469,793,199.23
  5. Step 5: Solve for x
    x = 469,793,199.23/33,870.78
  6. Step 6: Final answer
    x = 13,870.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.