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Finding the Fourth Proportional to 7,174.02, 9,896.15 and 6,666.62

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Solution

The fourth proportional to 7,174.02, 9,896.15 and 6,666.62 is: 9,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.02 : 9,896.15 = 6,666.62 : x
  2. Step 2: Convert to fraction form
    7,174.02/9,896.15 = 6,666.62/x
  3. Step 3: Cross multiply
    7,174.02x = 9,896.15 × 6,666.62
  4. Step 4: Simplify right side
    7,174.02x = 65,973,788.70
  5. Step 5: Solve for x
    x = 65,973,788.70/7,174.02
  6. Step 6: Final answer
    x = 9,196.21

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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.