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Finding the Fourth Proportional to 10,489.61, 14,474.02 and 6,012.74

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Solution

The fourth proportional to 10,489.61, 14,474.02 and 6,012.74 is: 8,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.61 : 14,474.02 = 6,012.74 : x
  2. Step 2: Convert to fraction form
    10,489.61/14,474.02 = 6,012.74/x
  3. Step 3: Cross multiply
    10,489.61x = 14,474.02 × 6,012.74
  4. Step 4: Simplify right side
    10,489.61x = 87,028,519.01
  5. Step 5: Solve for x
    x = 87,028,519.01/10,489.61
  6. Step 6: Final answer
    x = 8,296.64

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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.