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Finding the Fourth Proportional to 6,407.51, 9,610.05 and 2,024.60

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Solution

The fourth proportional to 6,407.51, 9,610.05 and 2,024.60 is: 3,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.51 : 9,610.05 = 2,024.60 : x
  2. Step 2: Convert to fraction form
    6,407.51/9,610.05 = 2,024.60/x
  3. Step 3: Cross multiply
    6,407.51x = 9,610.05 × 2,024.60
  4. Step 4: Simplify right side
    6,407.51x = 19,456,507.23
  5. Step 5: Solve for x
    x = 19,456,507.23/6,407.51
  6. Step 6: Final answer
    x = 3,036.52

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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.