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Finding the Fourth Proportional to 9,489.69, 14,236.53 and 3,566.63

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Solution

The fourth proportional to 9,489.69, 14,236.53 and 3,566.63 is: 5,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.69 : 14,236.53 = 3,566.63 : x
  2. Step 2: Convert to fraction form
    9,489.69/14,236.53 = 3,566.63/x
  3. Step 3: Cross multiply
    9,489.69x = 14,236.53 × 3,566.63
  4. Step 4: Simplify right side
    9,489.69x = 50,776,377.19
  5. Step 5: Solve for x
    x = 50,776,377.19/9,489.69
  6. Step 6: Final answer
    x = 5,350.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.