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Finding the Fourth Proportional to 6,468.42, 9,701.08 and 1,788.33

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Solution

The fourth proportional to 6,468.42, 9,701.08 and 1,788.33 is: 2,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.42 : 9,701.08 = 1,788.33 : x
  2. Step 2: Convert to fraction form
    6,468.42/9,701.08 = 1,788.33/x
  3. Step 3: Cross multiply
    6,468.42x = 9,701.08 × 1,788.33
  4. Step 4: Simplify right side
    6,468.42x = 17,348,719.80
  5. Step 5: Solve for x
    x = 17,348,719.80/6,468.42
  6. Step 6: Final answer
    x = 2,682.06

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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.