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Finding the Fourth Proportional to 10,074.60, 15,083.10 and 9,786.60

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Solution

The fourth proportional to 10,074.60, 15,083.10 and 9,786.60 is: 14,651.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.60 : 15,083.10 = 9,786.60 : x
  2. Step 2: Convert to fraction form
    10,074.60/15,083.10 = 9,786.60/x
  3. Step 3: Cross multiply
    10,074.60x = 15,083.10 × 9,786.60
  4. Step 4: Simplify right side
    10,074.60x = 147,612,266.46
  5. Step 5: Solve for x
    x = 147,612,266.46/10,074.60
  6. Step 6: Final answer
    x = 14,651.92

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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.