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Finding the Fourth Proportional to 4,918.32, 6,782.74 and 4,426.25

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Solution

The fourth proportional to 4,918.32, 6,782.74 and 4,426.25 is: 6,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,918.32 : 6,782.74 = 4,426.25 : x
  2. Step 2: Convert to fraction form
    4,918.32/6,782.74 = 4,426.25/x
  3. Step 3: Cross multiply
    4,918.32x = 6,782.74 × 4,426.25
  4. Step 4: Simplify right side
    4,918.32x = 30,022,057.95
  5. Step 5: Solve for x
    x = 30,022,057.95/4,918.32
  6. Step 6: Final answer
    x = 6,104.13

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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.