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Finding the Fourth Proportional to 9,927.84, 14,891.88 and 4,083.12

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Solution

The fourth proportional to 9,927.84, 14,891.88 and 4,083.12 is: 6,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.84 : 14,891.88 = 4,083.12 : x
  2. Step 2: Convert to fraction form
    9,927.84/14,891.88 = 4,083.12/x
  3. Step 3: Cross multiply
    9,927.84x = 14,891.88 × 4,083.12
  4. Step 4: Simplify right side
    9,927.84x = 60,805,333.07
  5. Step 5: Solve for x
    x = 60,805,333.07/9,927.84
  6. Step 6: Final answer
    x = 6,124.73

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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.