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Finding the Fourth Proportional to 6,107.00, 9,160.52 and 1,490.00

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Solution

The fourth proportional to 6,107.00, 9,160.52 and 1,490.00 is: 2,235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.00 : 9,160.52 = 1,490.00 : x
  2. Step 2: Convert to fraction form
    6,107.00/9,160.52 = 1,490.00/x
  3. Step 3: Cross multiply
    6,107.00x = 9,160.52 × 1,490.00
  4. Step 4: Simplify right side
    6,107.00x = 13,649,121.55
  5. Step 5: Solve for x
    x = 13,649,121.55/6,107.00
  6. Step 6: Final answer
    x = 2,235.00

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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.