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Finding the Fourth Proportional to 6,492.26, 9,734.24 and 3,859.07

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Solution

The fourth proportional to 6,492.26, 9,734.24 and 3,859.07 is: 5,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.26 : 9,734.24 = 3,859.07 : x
  2. Step 2: Convert to fraction form
    6,492.26/9,734.24 = 3,859.07/x
  3. Step 3: Cross multiply
    6,492.26x = 9,734.24 × 3,859.07
  4. Step 4: Simplify right side
    6,492.26x = 37,565,074.53
  5. Step 5: Solve for x
    x = 37,565,074.53/6,492.26
  6. Step 6: Final answer
    x = 5,786.13

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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.