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Finding the Fourth Proportional to 11,305.31, 15,601.38 and 6,270

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Solution

The fourth proportional to 11,305.31, 15,601.38 and 6,270 is: 8,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.31 : 15,601.38 = 6,270 : x
  2. Step 2: Convert to fraction form
    11,305.31/15,601.38 = 6,270/x
  3. Step 3: Cross multiply
    11,305.31x = 15,601.38 × 6,270
  4. Step 4: Simplify right side
    11,305.31x = 97,820,621.25
  5. Step 5: Solve for x
    x = 97,820,621.25/11,305.31
  6. Step 6: Final answer
    x = 8,652.63

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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.