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Finding the Fourth Proportional to 9,787.79, 13,497.98 and 7,546.12

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Solution

The fourth proportional to 9,787.79, 13,497.98 and 7,546.12 is: 10,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.79 : 13,497.98 = 7,546.12 : x
  2. Step 2: Convert to fraction form
    9,787.79/13,497.98 = 7,546.12/x
  3. Step 3: Cross multiply
    9,787.79x = 13,497.98 × 7,546.12
  4. Step 4: Simplify right side
    9,787.79x = 101,857,305.36
  5. Step 5: Solve for x
    x = 101,857,305.36/9,787.79
  6. Step 6: Final answer
    x = 10,406.57

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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.