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Finding the Fourth Proportional to 9,866.84, 14,787.50 and 7,382.16

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Solution

The fourth proportional to 9,866.84, 14,787.50 and 7,382.16 is: 11,063.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.84 : 14,787.50 = 7,382.16 : x
  2. Step 2: Convert to fraction form
    9,866.84/14,787.50 = 7,382.16/x
  3. Step 3: Cross multiply
    9,866.84x = 14,787.50 × 7,382.16
  4. Step 4: Simplify right side
    9,866.84x = 109,163,654.09
  5. Step 5: Solve for x
    x = 109,163,654.09/9,866.84
  6. Step 6: Final answer
    x = 11,063.70

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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.