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Finding the Fourth Proportional to 6,128, 9,192.48 and 2,024

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Solution

The fourth proportional to 6,128, 9,192.48 and 2,024 is: 3,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128 : 9,192.48 = 2,024 : x
  2. Step 2: Convert to fraction form
    6,128/9,192.48 = 2,024/x
  3. Step 3: Cross multiply
    6,128x = 9,192.48 × 2,024
  4. Step 4: Simplify right side
    6,128x = 18,605,579.52
  5. Step 5: Solve for x
    x = 18,605,579.52/6,128
  6. Step 6: Final answer
    x = 3,036.16

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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.