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Finding the Fourth Proportional to 6,589.41, 9,883.80 and 4,743.81

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Solution

The fourth proportional to 6,589.41, 9,883.80 and 4,743.81 is: 7,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.41 : 9,883.80 = 4,743.81 : x
  2. Step 2: Convert to fraction form
    6,589.41/9,883.80 = 4,743.81/x
  3. Step 3: Cross multiply
    6,589.41x = 9,883.80 × 4,743.81
  4. Step 4: Simplify right side
    6,589.41x = 46,886,869.28
  5. Step 5: Solve for x
    x = 46,886,869.28/6,589.41
  6. Step 6: Final answer
    x = 7,115.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.