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Finding the Fourth Proportional to 10,797.07, 14,902.41 and 7,013.64

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Solution

The fourth proportional to 10,797.07, 14,902.41 and 7,013.64 is: 9,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.07 : 14,902.41 = 7,013.64 : x
  2. Step 2: Convert to fraction form
    10,797.07/14,902.41 = 7,013.64/x
  3. Step 3: Cross multiply
    10,797.07x = 14,902.41 × 7,013.64
  4. Step 4: Simplify right side
    10,797.07x = 104,520,103.80
  5. Step 5: Solve for x
    x = 104,520,103.80/10,797.07
  6. Step 6: Final answer
    x = 9,680.42

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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.