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Finding the Fourth Proportional to 9,249.32, 12,764.94 and 5,058.20

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Solution

The fourth proportional to 9,249.32, 12,764.94 and 5,058.20 is: 6,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.32 : 12,764.94 = 5,058.20 : x
  2. Step 2: Convert to fraction form
    9,249.32/12,764.94 = 5,058.20/x
  3. Step 3: Cross multiply
    9,249.32x = 12,764.94 × 5,058.20
  4. Step 4: Simplify right side
    9,249.32x = 64,567,619.51
  5. Step 5: Solve for x
    x = 64,567,619.51/9,249.32
  6. Step 6: Final answer
    x = 6,980.80

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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.