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Finding the Fourth Proportional to 7,848, 10,829.70 and 4,310.48

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Solution

The fourth proportional to 7,848, 10,829.70 and 4,310.48 is: 5,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 10,829.70 = 4,310.48 : x
  2. Step 2: Convert to fraction form
    7,848/10,829.70 = 4,310.48/x
  3. Step 3: Cross multiply
    7,848x = 10,829.70 × 4,310.48
  4. Step 4: Simplify right side
    7,848x = 46,681,205.26
  5. Step 5: Solve for x
    x = 46,681,205.26/7,848
  6. Step 6: Final answer
    x = 5,948.17

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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.