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Finding the Fourth Proportional to 8,641.32, 11,927.94 and 5,992.24

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Solution

The fourth proportional to 8,641.32, 11,927.94 and 5,992.24 is: 8,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.32 : 11,927.94 = 5,992.24 : x
  2. Step 2: Convert to fraction form
    8,641.32/11,927.94 = 5,992.24/x
  3. Step 3: Cross multiply
    8,641.32x = 11,927.94 × 5,992.24
  4. Step 4: Simplify right side
    8,641.32x = 71,475,079.19
  5. Step 5: Solve for x
    x = 71,475,079.19/8,641.32
  6. Step 6: Final answer
    x = 8,271.31

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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.