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Finding the Fourth Proportional to 8,589.14, 11,853.99 and 4,813.32

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Solution

The fourth proportional to 8,589.14, 11,853.99 and 4,813.32 is: 6,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.14 : 11,853.99 = 4,813.32 : x
  2. Step 2: Convert to fraction form
    8,589.14/11,853.99 = 4,813.32/x
  3. Step 3: Cross multiply
    8,589.14x = 11,853.99 × 4,813.32
  4. Step 4: Simplify right side
    8,589.14x = 57,057,047.15
  5. Step 5: Solve for x
    x = 57,057,047.15/8,589.14
  6. Step 6: Final answer
    x = 6,642.93

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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.