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Finding the Fourth Proportional to 9,697.97, 13,388.30 and 6,527.93

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Solution

The fourth proportional to 9,697.97, 13,388.30 and 6,527.93 is: 9,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.97 : 13,388.30 = 6,527.93 : x
  2. Step 2: Convert to fraction form
    9,697.97/13,388.30 = 6,527.93/x
  3. Step 3: Cross multiply
    9,697.97x = 13,388.30 × 6,527.93
  4. Step 4: Simplify right side
    9,697.97x = 87,397,785.64
  5. Step 5: Solve for x
    x = 87,397,785.64/9,697.97
  6. Step 6: Final answer
    x = 9,011.97

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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.