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Finding the Fourth Proportional to 9,787.70, 13,685.50 and 9,787.70

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Solution

The fourth proportional to 9,787.70, 13,685.50 and 9,787.70 is: 13,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.70 : 13,685.50 = 9,787.70 : x
  2. Step 2: Convert to fraction form
    9,787.70/13,685.50 = 9,787.70/x
  3. Step 3: Cross multiply
    9,787.70x = 13,685.50 × 9,787.70
  4. Step 4: Simplify right side
    9,787.70x = 133,949,568.35
  5. Step 5: Solve for x
    x = 133,949,568.35/9,787.70
  6. Step 6: Final answer
    x = 13,685.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.