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Finding the Fourth Proportional to 7,166.62, 9,898.31 and 6,536.04

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Solution

The fourth proportional to 7,166.62, 9,898.31 and 6,536.04 is: 9,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.62 : 9,898.31 = 6,536.04 : x
  2. Step 2: Convert to fraction form
    7,166.62/9,898.31 = 6,536.04/x
  3. Step 3: Cross multiply
    7,166.62x = 9,898.31 × 6,536.04
  4. Step 4: Simplify right side
    7,166.62x = 64,695,750.09
  5. Step 5: Solve for x
    x = 64,695,750.09/7,166.62
  6. Step 6: Final answer
    x = 9,027.37

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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.