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Finding the Fourth Proportional to 10,612.80, 15,919.20 and 9,835.20

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Solution

The fourth proportional to 10,612.80, 15,919.20 and 9,835.20 is: 14,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.80 : 15,919.20 = 9,835.20 : x
  2. Step 2: Convert to fraction form
    10,612.80/15,919.20 = 9,835.20/x
  3. Step 3: Cross multiply
    10,612.80x = 15,919.20 × 9,835.20
  4. Step 4: Simplify right side
    10,612.80x = 156,568,515.84
  5. Step 5: Solve for x
    x = 156,568,515.84/10,612.80
  6. Step 6: Final answer
    x = 14,752.80

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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.