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Finding the Fourth Proportional to 7,643.10, 11,464.65 and 7,059.90

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Solution

The fourth proportional to 7,643.10, 11,464.65 and 7,059.90 is: 10,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.10 : 11,464.65 = 7,059.90 : x
  2. Step 2: Convert to fraction form
    7,643.10/11,464.65 = 7,059.90/x
  3. Step 3: Cross multiply
    7,643.10x = 11,464.65 × 7,059.90
  4. Step 4: Simplify right side
    7,643.10x = 80,939,282.54
  5. Step 5: Solve for x
    x = 80,939,282.54/7,643.10
  6. Step 6: Final answer
    x = 10,589.85

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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.