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Finding the Fourth Proportional to 11,599.75, 16,007.75 and 6,888.07

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Solution

The fourth proportional to 11,599.75, 16,007.75 and 6,888.07 is: 9,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.75 : 16,007.75 = 6,888.07 : x
  2. Step 2: Convert to fraction form
    11,599.75/16,007.75 = 6,888.07/x
  3. Step 3: Cross multiply
    11,599.75x = 16,007.75 × 6,888.07
  4. Step 4: Simplify right side
    11,599.75x = 110,262,502.54
  5. Step 5: Solve for x
    x = 110,262,502.54/11,599.75
  6. Step 6: Final answer
    x = 9,505.59

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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.