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Finding the Fourth Proportional to 16,509.72, 24,764.32 and 6,648.74

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Solution

The fourth proportional to 16,509.72, 24,764.32 and 6,648.74 is: 9,973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.72 : 24,764.32 = 6,648.74 : x
  2. Step 2: Convert to fraction form
    16,509.72/24,764.32 = 6,648.74/x
  3. Step 3: Cross multiply
    16,509.72x = 24,764.32 × 6,648.74
  4. Step 4: Simplify right side
    16,509.72x = 164,651,524.96
  5. Step 5: Solve for x
    x = 164,651,524.96/16,509.72
  6. Step 6: Final answer
    x = 9,973.01

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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.