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Finding the Fourth Proportional to 11,459.76, 15,806.79 and 7,481.85

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Solution

The fourth proportional to 11,459.76, 15,806.79 and 7,481.85 is: 10,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.76 : 15,806.79 = 7,481.85 : x
  2. Step 2: Convert to fraction form
    11,459.76/15,806.79 = 7,481.85/x
  3. Step 3: Cross multiply
    11,459.76x = 15,806.79 × 7,481.85
  4. Step 4: Simplify right side
    11,459.76x = 118,264,031.76
  5. Step 5: Solve for x
    x = 118,264,031.76/11,459.76
  6. Step 6: Final answer
    x = 10,319.94

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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.