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Finding the Fourth Proportional to 6,098.90, 9,149.64 and 1,938.40

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Solution

The fourth proportional to 6,098.90, 9,149.64 and 1,938.40 is: 2,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.90 : 9,149.64 = 1,938.40 : x
  2. Step 2: Convert to fraction form
    6,098.90/9,149.64 = 1,938.40/x
  3. Step 3: Cross multiply
    6,098.90x = 9,149.64 × 1,938.40
  4. Step 4: Simplify right side
    6,098.90x = 17,735,662.18
  5. Step 5: Solve for x
    x = 17,735,662.18/6,098.90
  6. Step 6: Final answer
    x = 2,908.01

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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.