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Finding the Fourth Proportional to 6,852.42, 9,455.67 and 3,867.75

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Solution

The fourth proportional to 6,852.42, 9,455.67 and 3,867.75 is: 5,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.42 : 9,455.67 = 3,867.75 : x
  2. Step 2: Convert to fraction form
    6,852.42/9,455.67 = 3,867.75/x
  3. Step 3: Cross multiply
    6,852.42x = 9,455.67 × 3,867.75
  4. Step 4: Simplify right side
    6,852.42x = 36,572,167.64
  5. Step 5: Solve for x
    x = 36,572,167.64/6,852.42
  6. Step 6: Final answer
    x = 5,337.12

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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.