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Finding the Fourth Proportional to 9,037.80, 12,471.48 and 5,058

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Solution

The fourth proportional to 9,037.80, 12,471.48 and 5,058 is: 6,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.80 : 12,471.48 = 5,058 : x
  2. Step 2: Convert to fraction form
    9,037.80/12,471.48 = 5,058/x
  3. Step 3: Cross multiply
    9,037.80x = 12,471.48 × 5,058
  4. Step 4: Simplify right side
    9,037.80x = 63,080,745.84
  5. Step 5: Solve for x
    x = 63,080,745.84/9,037.80
  6. Step 6: Final answer
    x = 6,979.66

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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.