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Finding the Fourth Proportional to 9,697.64, 13,382.62 and 5,505.62

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Solution

The fourth proportional to 9,697.64, 13,382.62 and 5,505.62 is: 7,597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.64 : 13,382.62 = 5,505.62 : x
  2. Step 2: Convert to fraction form
    9,697.64/13,382.62 = 5,505.62/x
  3. Step 3: Cross multiply
    9,697.64x = 13,382.62 × 5,505.62
  4. Step 4: Simplify right side
    9,697.64x = 73,679,539.65
  5. Step 5: Solve for x
    x = 73,679,539.65/9,697.64
  6. Step 6: Final answer
    x = 7,597.68

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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.