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Finding the Fourth Proportional to 7,666.94, 11,500.41 and 6,289.82

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Solution

The fourth proportional to 7,666.94, 11,500.41 and 6,289.82 is: 9,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.94 : 11,500.41 = 6,289.82 : x
  2. Step 2: Convert to fraction form
    7,666.94/11,500.41 = 6,289.82/x
  3. Step 3: Cross multiply
    7,666.94x = 11,500.41 × 6,289.82
  4. Step 4: Simplify right side
    7,666.94x = 72,335,451.32
  5. Step 5: Solve for x
    x = 72,335,451.32/7,666.94
  6. Step 6: Final answer
    x = 9,434.73

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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.