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Finding the Fourth Proportional to 8,589.90, 11,853.86 and 4,813.23

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Solution

The fourth proportional to 8,589.90, 11,853.86 and 4,813.23 is: 6,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.90 : 11,853.86 = 4,813.23 : x
  2. Step 2: Convert to fraction form
    8,589.90/11,853.86 = 4,813.23/x
  3. Step 3: Cross multiply
    8,589.90x = 11,853.86 × 4,813.23
  4. Step 4: Simplify right side
    8,589.90x = 57,055,335.35
  5. Step 5: Solve for x
    x = 57,055,335.35/8,589.90
  6. Step 6: Final answer
    x = 6,642.14

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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.