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Finding the Fourth Proportional to 10,300.80, 15,418.80 and 8,097.60

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Solution

The fourth proportional to 10,300.80, 15,418.80 and 8,097.60 is: 12,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.80 : 15,418.80 = 8,097.60 : x
  2. Step 2: Convert to fraction form
    10,300.80/15,418.80 = 8,097.60/x
  3. Step 3: Cross multiply
    10,300.80x = 15,418.80 × 8,097.60
  4. Step 4: Simplify right side
    10,300.80x = 124,855,274.88
  5. Step 5: Solve for x
    x = 124,855,274.88/10,300.80
  6. Step 6: Final answer
    x = 12,120.93

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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.