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Finding the Fourth Proportional to 6,878.40, 9,492.16 and 3,734.56

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Solution

The fourth proportional to 6,878.40, 9,492.16 and 3,734.56 is: 5,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.40 : 9,492.16 = 3,734.56 : x
  2. Step 2: Convert to fraction form
    6,878.40/9,492.16 = 3,734.56/x
  3. Step 3: Cross multiply
    6,878.40x = 9,492.16 × 3,734.56
  4. Step 4: Simplify right side
    6,878.40x = 35,449,041.05
  5. Step 5: Solve for x
    x = 35,449,041.05/6,878.40
  6. Step 6: Final answer
    x = 5,153.68

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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.