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Finding the Fourth Proportional to 6,782.64, 9,359.84 and 3,798.40

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Solution

The fourth proportional to 6,782.64, 9,359.84 and 3,798.40 is: 5,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.64 : 9,359.84 = 3,798.40 : x
  2. Step 2: Convert to fraction form
    6,782.64/9,359.84 = 3,798.40/x
  3. Step 3: Cross multiply
    6,782.64x = 9,359.84 × 3,798.40
  4. Step 4: Simplify right side
    6,782.64x = 35,552,416.26
  5. Step 5: Solve for x
    x = 35,552,416.26/6,782.64
  6. Step 6: Final answer
    x = 5,241.68

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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.