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Finding the Fourth Proportional to 9,697.62, 14,536.47 and 5,529.10

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Solution

The fourth proportional to 9,697.62, 14,536.47 and 5,529.10 is: 8,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.62 : 14,536.47 = 5,529.10 : x
  2. Step 2: Convert to fraction form
    9,697.62/14,536.47 = 5,529.10/x
  3. Step 3: Cross multiply
    9,697.62x = 14,536.47 × 5,529.10
  4. Step 4: Simplify right side
    9,697.62x = 80,373,596.28
  5. Step 5: Solve for x
    x = 80,373,596.28/9,697.62
  6. Step 6: Final answer
    x = 8,287.97

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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.