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Finding the Fourth Proportional to 9,697.12, 13,387.13 and 6,527.08

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Solution

The fourth proportional to 9,697.12, 13,387.13 and 6,527.08 is: 9,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.12 : 13,387.13 = 6,527.08 : x
  2. Step 2: Convert to fraction form
    9,697.12/13,387.13 = 6,527.08/x
  3. Step 3: Cross multiply
    9,697.12x = 13,387.13 × 6,527.08
  4. Step 4: Simplify right side
    9,697.12x = 87,378,868.48
  5. Step 5: Solve for x
    x = 87,378,868.48/9,697.12
  6. Step 6: Final answer
    x = 9,010.81

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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.