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Finding the Fourth Proportional to 16,014.24, 24,003 and 6,148.44

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Solution

The fourth proportional to 16,014.24, 24,003 and 6,148.44 is: 9,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.24 : 24,003 = 6,148.44 : x
  2. Step 2: Convert to fraction form
    16,014.24/24,003 = 6,148.44/x
  3. Step 3: Cross multiply
    16,014.24x = 24,003 × 6,148.44
  4. Step 4: Simplify right side
    16,014.24x = 147,581,005.32
  5. Step 5: Solve for x
    x = 147,581,005.32/16,014.24
  6. Step 6: Final answer
    x = 9,215.61

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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.