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Finding the Fourth Proportional to 16,048.48, 24,072.72 and 6,808.48

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Solution

The fourth proportional to 16,048.48, 24,072.72 and 6,808.48 is: 10,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048.48 : 24,072.72 = 6,808.48 : x
  2. Step 2: Convert to fraction form
    16,048.48/24,072.72 = 6,808.48/x
  3. Step 3: Cross multiply
    16,048.48x = 24,072.72 × 6,808.48
  4. Step 4: Simplify right side
    16,048.48x = 163,898,632.67
  5. Step 5: Solve for x
    x = 163,898,632.67/16,048.48
  6. Step 6: Final answer
    x = 10,212.72

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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.