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Finding the Fourth Proportional to 6,712.16, 10,067.36 and 1,782.16

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Solution

The fourth proportional to 6,712.16, 10,067.36 and 1,782.16 is: 2,673.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.16 : 10,067.36 = 1,782.16 : x
  2. Step 2: Convert to fraction form
    6,712.16/10,067.36 = 1,782.16/x
  3. Step 3: Cross multiply
    6,712.16x = 10,067.36 × 1,782.16
  4. Step 4: Simplify right side
    6,712.16x = 17,941,646.30
  5. Step 5: Solve for x
    x = 17,941,646.30/6,712.16
  6. Step 6: Final answer
    x = 2,673.01

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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.