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Finding the Fourth Proportional to 9,573.84, 14,337.42 and 6,787.26

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Solution

The fourth proportional to 9,573.84, 14,337.42 and 6,787.26 is: 10,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.84 : 14,337.42 = 6,787.26 : x
  2. Step 2: Convert to fraction form
    9,573.84/14,337.42 = 6,787.26/x
  3. Step 3: Cross multiply
    9,573.84x = 14,337.42 × 6,787.26
  4. Step 4: Simplify right side
    9,573.84x = 97,311,797.27
  5. Step 5: Solve for x
    x = 97,311,797.27/9,573.84
  6. Step 6: Final answer
    x = 10,164.34

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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.