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Finding the Fourth Proportional to 11,752.30, 16,214.94 and 7,562.98

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Solution

The fourth proportional to 11,752.30, 16,214.94 and 7,562.98 is: 10,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.30 : 16,214.94 = 7,562.98 : x
  2. Step 2: Convert to fraction form
    11,752.30/16,214.94 = 7,562.98/x
  3. Step 3: Cross multiply
    11,752.30x = 16,214.94 × 7,562.98
  4. Step 4: Simplify right side
    11,752.30x = 122,633,266.92
  5. Step 5: Solve for x
    x = 122,633,266.92/11,752.30
  6. Step 6: Final answer
    x = 10,434.83

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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.