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Finding the Fourth Proportional to 15,315.70, 22,961.40 and 8,390.20

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Solution

The fourth proportional to 15,315.70, 22,961.40 and 8,390.20 is: 12,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,315.70 : 22,961.40 = 8,390.20 : x
  2. Step 2: Convert to fraction form
    15,315.70/22,961.40 = 8,390.20/x
  3. Step 3: Cross multiply
    15,315.70x = 22,961.40 × 8,390.20
  4. Step 4: Simplify right side
    15,315.70x = 192,650,738.28
  5. Step 5: Solve for x
    x = 192,650,738.28/15,315.70
  6. Step 6: Final answer
    x = 12,578.64

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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.