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Finding the Fourth Proportional to 12,598.22, 18,891.05 and 5,200.89

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Solution

The fourth proportional to 12,598.22, 18,891.05 and 5,200.89 is: 7,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.22 : 18,891.05 = 5,200.89 : x
  2. Step 2: Convert to fraction form
    12,598.22/18,891.05 = 5,200.89/x
  3. Step 3: Cross multiply
    12,598.22x = 18,891.05 × 5,200.89
  4. Step 4: Simplify right side
    12,598.22x = 98,250,247.03
  5. Step 5: Solve for x
    x = 98,250,247.03/12,598.22
  6. Step 6: Final answer
    x = 7,798.74

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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.