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Finding the Fourth Proportional to 11,853.77, 16,358.11 and 6,548.48

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Solution

The fourth proportional to 11,853.77, 16,358.11 and 6,548.48 is: 9,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.77 : 16,358.11 = 6,548.48 : x
  2. Step 2: Convert to fraction form
    11,853.77/16,358.11 = 6,548.48/x
  3. Step 3: Cross multiply
    11,853.77x = 16,358.11 × 6,548.48
  4. Step 4: Simplify right side
    11,853.77x = 107,120,641.64
  5. Step 5: Solve for x
    x = 107,120,641.64/11,853.77
  6. Step 6: Final answer
    x = 9,036.84

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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.