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Finding the Fourth Proportional to 11,493.34, 15,866.86 and 7,736.26

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Solution

The fourth proportional to 11,493.34, 15,866.86 and 7,736.26 is: 10,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.34 : 15,866.86 = 7,736.26 : x
  2. Step 2: Convert to fraction form
    11,493.34/15,866.86 = 7,736.26/x
  3. Step 3: Cross multiply
    11,493.34x = 15,866.86 × 7,736.26
  4. Step 4: Simplify right side
    11,493.34x = 122,750,154.34
  5. Step 5: Solve for x
    x = 122,750,154.34/11,493.34
  6. Step 6: Final answer
    x = 10,680.11

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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.