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Finding the Fourth Proportional to 9,249.96, 12,764.88 and 5,058.24

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Solution

The fourth proportional to 9,249.96, 12,764.88 and 5,058.24 is: 6,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.96 : 12,764.88 = 5,058.24 : x
  2. Step 2: Convert to fraction form
    9,249.96/12,764.88 = 5,058.24/x
  3. Step 3: Cross multiply
    9,249.96x = 12,764.88 × 5,058.24
  4. Step 4: Simplify right side
    9,249.96x = 64,567,826.61
  5. Step 5: Solve for x
    x = 64,567,826.61/9,249.96
  6. Step 6: Final answer
    x = 6,980.34

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1.5x scale

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.