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Finding the Fourth Proportional to 10,772.48, 16,164.48 and 4,616.96

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Solution

The fourth proportional to 10,772.48, 16,164.48 and 4,616.96 is: 6,927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.48 : 16,164.48 = 4,616.96 : x
  2. Step 2: Convert to fraction form
    10,772.48/16,164.48 = 4,616.96/x
  3. Step 3: Cross multiply
    10,772.48x = 16,164.48 × 4,616.96
  4. Step 4: Simplify right side
    10,772.48x = 74,630,757.58
  5. Step 5: Solve for x
    x = 74,630,757.58/10,772.48
  6. Step 6: Final answer
    x = 6,927.91

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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.