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Finding the Fourth Proportional to 6,967.02, 9,614.51 and 3,823.27

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Solution

The fourth proportional to 6,967.02, 9,614.51 and 3,823.27 is: 5,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.02 : 9,614.51 = 3,823.27 : x
  2. Step 2: Convert to fraction form
    6,967.02/9,614.51 = 3,823.27/x
  3. Step 3: Cross multiply
    6,967.02x = 9,614.51 × 3,823.27
  4. Step 4: Simplify right side
    6,967.02x = 36,758,867.65
  5. Step 5: Solve for x
    x = 36,758,867.65/6,967.02
  6. Step 6: Final answer
    x = 5,276.12

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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.