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Finding the Fourth Proportional to 11,999.53, 16,555.64 and 7,752.95

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Solution

The fourth proportional to 11,999.53, 16,555.64 and 7,752.95 is: 10,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.53 : 16,555.64 = 7,752.95 : x
  2. Step 2: Convert to fraction form
    11,999.53/16,555.64 = 7,752.95/x
  3. Step 3: Cross multiply
    11,999.53x = 16,555.64 × 7,752.95
  4. Step 4: Simplify right side
    11,999.53x = 128,355,049.14
  5. Step 5: Solve for x
    x = 128,355,049.14/11,999.53
  6. Step 6: Final answer
    x = 10,696.68

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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.