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Finding the Fourth Proportional to 6,848.93, 9,451.65 and 4,018.34

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Solution

The fourth proportional to 6,848.93, 9,451.65 and 4,018.34 is: 5,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.93 : 9,451.65 = 4,018.34 : x
  2. Step 2: Convert to fraction form
    6,848.93/9,451.65 = 4,018.34/x
  3. Step 3: Cross multiply
    6,848.93x = 9,451.65 × 4,018.34
  4. Step 4: Simplify right side
    6,848.93x = 37,979,943.26
  5. Step 5: Solve for x
    x = 37,979,943.26/6,848.93
  6. Step 6: Final answer
    x = 5,545.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.