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Finding the Fourth Proportional to 16,014.81, 24,023.13 and 6,655.67

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Solution

The fourth proportional to 16,014.81, 24,023.13 and 6,655.67 is: 9,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.81 : 24,023.13 = 6,655.67 : x
  2. Step 2: Convert to fraction form
    16,014.81/24,023.13 = 6,655.67/x
  3. Step 3: Cross multiply
    16,014.81x = 24,023.13 × 6,655.67
  4. Step 4: Simplify right side
    16,014.81x = 159,889,965.59
  5. Step 5: Solve for x
    x = 159,889,965.59/16,014.81
  6. Step 6: Final answer
    x = 9,983.88

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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.