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Finding the Fourth Proportional to 6,098.40, 9,147.06 and 2,977.20

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Solution

The fourth proportional to 6,098.40, 9,147.06 and 2,977.20 is: 4,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.40 : 9,147.06 = 2,977.20 : x
  2. Step 2: Convert to fraction form
    6,098.40/9,147.06 = 2,977.20/x
  3. Step 3: Cross multiply
    6,098.40x = 9,147.06 × 2,977.20
  4. Step 4: Simplify right side
    6,098.40x = 27,232,627.03
  5. Step 5: Solve for x
    x = 27,232,627.03/6,098.40
  6. Step 6: Final answer
    x = 4,465.54

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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.