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Finding the Fourth Proportional to 7,098.87, 10,649.44 and 2,419.14

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Solution

The fourth proportional to 7,098.87, 10,649.44 and 2,419.14 is: 3,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.87 : 10,649.44 = 2,419.14 : x
  2. Step 2: Convert to fraction form
    7,098.87/10,649.44 = 2,419.14/x
  3. Step 3: Cross multiply
    7,098.87x = 10,649.44 × 2,419.14
  4. Step 4: Simplify right side
    7,098.87x = 25,762,489.08
  5. Step 5: Solve for x
    x = 25,762,489.08/7,098.87
  6. Step 6: Final answer
    x = 3,629.10

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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.