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Finding the Fourth Proportional to 11,764.22, 16,235.99 and 7,048.50

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Solution

The fourth proportional to 11,764.22, 16,235.99 and 7,048.50 is: 9,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.22 : 16,235.99 = 7,048.50 : x
  2. Step 2: Convert to fraction form
    11,764.22/16,235.99 = 7,048.50/x
  3. Step 3: Cross multiply
    11,764.22x = 16,235.99 × 7,048.50
  4. Step 4: Simplify right side
    11,764.22x = 114,439,340.27
  5. Step 5: Solve for x
    x = 114,439,340.27/11,764.22
  6. Step 6: Final answer
    x = 9,727.75

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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.