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Finding the Fourth Proportional to 9,878.43, 14,822.19 and 4,616.27

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Solution

The fourth proportional to 9,878.43, 14,822.19 and 4,616.27 is: 6,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.43 : 14,822.19 = 4,616.27 : x
  2. Step 2: Convert to fraction form
    9,878.43/14,822.19 = 4,616.27/x
  3. Step 3: Cross multiply
    9,878.43x = 14,822.19 × 4,616.27
  4. Step 4: Simplify right side
    9,878.43x = 68,423,231.03
  5. Step 5: Solve for x
    x = 68,423,231.03/9,878.43
  6. Step 6: Final answer
    x = 6,926.53

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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.