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Finding the Fourth Proportional to 4,903.64, 6,762.42 and 3,782.82

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Solution

The fourth proportional to 4,903.64, 6,762.42 and 3,782.82 is: 5,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.64 : 6,762.42 = 3,782.82 : x
  2. Step 2: Convert to fraction form
    4,903.64/6,762.42 = 3,782.82/x
  3. Step 3: Cross multiply
    4,903.64x = 6,762.42 × 3,782.82
  4. Step 4: Simplify right side
    4,903.64x = 25,581,017.62
  5. Step 5: Solve for x
    x = 25,581,017.62/4,903.64
  6. Step 6: Final answer
    x = 5,216.75

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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.