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Finding the Fourth Proportional to 16,509.59, 24,764.12 and 6,648.63

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Solution

The fourth proportional to 16,509.59, 24,764.12 and 6,648.63 is: 9,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.59 : 24,764.12 = 6,648.63 : x
  2. Step 2: Convert to fraction form
    16,509.59/24,764.12 = 6,648.63/x
  3. Step 3: Cross multiply
    16,509.59x = 24,764.12 × 6,648.63
  4. Step 4: Simplify right side
    16,509.59x = 164,647,437.91
  5. Step 5: Solve for x
    x = 164,647,437.91/16,509.59
  6. Step 6: Final answer
    x = 9,972.84

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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.