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Finding the Fourth Proportional to 5,198.76, 7,798.19 and 1,303.18

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Solution

The fourth proportional to 5,198.76, 7,798.19 and 1,303.18 is: 1,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.76 : 7,798.19 = 1,303.18 : x
  2. Step 2: Convert to fraction form
    5,198.76/7,798.19 = 1,303.18/x
  3. Step 3: Cross multiply
    5,198.76x = 7,798.19 × 1,303.18
  4. Step 4: Simplify right side
    5,198.76x = 10,162,445.24
  5. Step 5: Solve for x
    x = 10,162,445.24/5,198.76
  6. Step 6: Final answer
    x = 1,954.78

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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.