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Finding the Fourth Proportional to 6,538.32, 9,807.48 and 5,488.56

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Solution

The fourth proportional to 6,538.32, 9,807.48 and 5,488.56 is: 8,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.32 : 9,807.48 = 5,488.56 : x
  2. Step 2: Convert to fraction form
    6,538.32/9,807.48 = 5,488.56/x
  3. Step 3: Cross multiply
    6,538.32x = 9,807.48 × 5,488.56
  4. Step 4: Simplify right side
    6,538.32x = 53,828,942.43
  5. Step 5: Solve for x
    x = 53,828,942.43/6,538.32
  6. Step 6: Final answer
    x = 8,232.84

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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.