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Finding the Fourth Proportional to 6,878.84, 9,492.18 and 4,046.33

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Solution

The fourth proportional to 6,878.84, 9,492.18 and 4,046.33 is: 5,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.84 : 9,492.18 = 4,046.33 : x
  2. Step 2: Convert to fraction form
    6,878.84/9,492.18 = 4,046.33/x
  3. Step 3: Cross multiply
    6,878.84x = 9,492.18 × 4,046.33
  4. Step 4: Simplify right side
    6,878.84x = 38,408,445.24
  5. Step 5: Solve for x
    x = 38,408,445.24/6,878.84
  6. Step 6: Final answer
    x = 5,583.57

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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.