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Finding the Fourth Proportional to 9,697.65, 13,387.84 and 6,527.61

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Solution

The fourth proportional to 9,697.65, 13,387.84 and 6,527.61 is: 9,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.65 : 13,387.84 = 6,527.61 : x
  2. Step 2: Convert to fraction form
    9,697.65/13,387.84 = 6,527.61/x
  3. Step 3: Cross multiply
    9,697.65x = 13,387.84 × 6,527.61
  4. Step 4: Simplify right side
    9,697.65x = 87,390,598.26
  5. Step 5: Solve for x
    x = 87,390,598.26/9,697.65
  6. Step 6: Final answer
    x = 9,011.52

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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.