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Finding the Fourth Proportional to 7,848.29, 10,822.01 and 6,652.73

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Solution

The fourth proportional to 7,848.29, 10,822.01 and 6,652.73 is: 9,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.29 : 10,822.01 = 6,652.73 : x
  2. Step 2: Convert to fraction form
    7,848.29/10,822.01 = 6,652.73/x
  3. Step 3: Cross multiply
    7,848.29x = 10,822.01 × 6,652.73
  4. Step 4: Simplify right side
    7,848.29x = 71,995,904.38
  5. Step 5: Solve for x
    x = 71,995,904.38/7,848.29
  6. Step 6: Final answer
    x = 9,173.45

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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.