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Finding the Fourth Proportional to 6,878.46, 9,492.18 and 3,894.30

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Solution

The fourth proportional to 6,878.46, 9,492.18 and 3,894.30 is: 5,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.46 : 9,492.18 = 3,894.30 : x
  2. Step 2: Convert to fraction form
    6,878.46/9,492.18 = 3,894.30/x
  3. Step 3: Cross multiply
    6,878.46x = 9,492.18 × 3,894.30
  4. Step 4: Simplify right side
    6,878.46x = 36,965,396.57
  5. Step 5: Solve for x
    x = 36,965,396.57/6,878.46
  6. Step 6: Final answer
    x = 5,374.08

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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.