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Finding the Fourth Proportional to 11,599.76, 16,007.28 and 6,881.28

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Solution

The fourth proportional to 11,599.76, 16,007.28 and 6,881.28 is: 9,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.76 : 16,007.28 = 6,881.28 : x
  2. Step 2: Convert to fraction form
    11,599.76/16,007.28 = 6,881.28/x
  3. Step 3: Cross multiply
    11,599.76x = 16,007.28 × 6,881.28
  4. Step 4: Simplify right side
    11,599.76x = 110,150,575.72
  5. Step 5: Solve for x
    x = 110,150,575.72/11,599.76
  6. Step 6: Final answer
    x = 9,495.94

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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.