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Finding the Fourth Proportional to 7,081.48, 9,767.82 and 4,723.48

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Solution

The fourth proportional to 7,081.48, 9,767.82 and 4,723.48 is: 6,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.48 : 9,767.82 = 4,723.48 : x
  2. Step 2: Convert to fraction form
    7,081.48/9,767.82 = 4,723.48/x
  3. Step 3: Cross multiply
    7,081.48x = 9,767.82 × 4,723.48
  4. Step 4: Simplify right side
    7,081.48x = 46,138,102.41
  5. Step 5: Solve for x
    x = 46,138,102.41/7,081.48
  6. Step 6: Final answer
    x = 6,515.32

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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.