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Finding the Fourth Proportional to 6,878.45, 9,492.13 and 4,046.13

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Solution

The fourth proportional to 6,878.45, 9,492.13 and 4,046.13 is: 5,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.45 : 9,492.13 = 4,046.13 : x
  2. Step 2: Convert to fraction form
    6,878.45/9,492.13 = 4,046.13/x
  3. Step 3: Cross multiply
    6,878.45x = 9,492.13 × 4,046.13
  4. Step 4: Simplify right side
    6,878.45x = 38,406,391.96
  5. Step 5: Solve for x
    x = 38,406,391.96/6,878.45
  6. Step 6: Final answer
    x = 5,583.58

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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.