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Finding the Fourth Proportional to 9,662.62, 14,498.79 and 7,202.38

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Solution

The fourth proportional to 9,662.62, 14,498.79 and 7,202.38 is: 10,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.62 : 14,498.79 = 7,202.38 : x
  2. Step 2: Convert to fraction form
    9,662.62/14,498.79 = 7,202.38/x
  3. Step 3: Cross multiply
    9,662.62x = 14,498.79 × 7,202.38
  4. Step 4: Simplify right side
    9,662.62x = 104,425,795.12
  5. Step 5: Solve for x
    x = 104,425,795.12/9,662.62
  6. Step 6: Final answer
    x = 10,807.19

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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.