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Finding the Fourth Proportional to 11,594.49, 16,002.75 and 6,881.49

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Solution

The fourth proportional to 11,594.49, 16,002.75 and 6,881.49 is: 9,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.49 : 16,002.75 = 6,881.49 : x
  2. Step 2: Convert to fraction form
    11,594.49/16,002.75 = 6,881.49/x
  3. Step 3: Cross multiply
    11,594.49x = 16,002.75 × 6,881.49
  4. Step 4: Simplify right side
    11,594.49x = 110,122,764.10
  5. Step 5: Solve for x
    x = 110,122,764.10/11,594.49
  6. Step 6: Final answer
    x = 9,497.85

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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.