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Finding the Fourth Proportional to 11,489.66, 15,841.19 and 7,504.46

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Solution

The fourth proportional to 11,489.66, 15,841.19 and 7,504.46 is: 10,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.66 : 15,841.19 = 7,504.46 : x
  2. Step 2: Convert to fraction form
    11,489.66/15,841.19 = 7,504.46/x
  3. Step 3: Cross multiply
    11,489.66x = 15,841.19 × 7,504.46
  4. Step 4: Simplify right side
    11,489.66x = 118,879,459.98
  5. Step 5: Solve for x
    x = 118,879,459.98/11,489.66
  6. Step 6: Final answer
    x = 10,346.65

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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.