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Finding the Fourth Proportional to 11,811.49, 16,303.08 and 7,562.23

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Solution

The fourth proportional to 11,811.49, 16,303.08 and 7,562.23 is: 10,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.49 : 16,303.08 = 7,562.23 : x
  2. Step 2: Convert to fraction form
    11,811.49/16,303.08 = 7,562.23/x
  3. Step 3: Cross multiply
    11,811.49x = 16,303.08 × 7,562.23
  4. Step 4: Simplify right side
    11,811.49x = 123,287,640.67
  5. Step 5: Solve for x
    x = 123,287,640.67/11,811.49
  6. Step 6: Final answer
    x = 10,437.94

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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.