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Finding the Fourth Proportional to 7,872.99, 11,796.72 and 4,946.05

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Solution

The fourth proportional to 7,872.99, 11,796.72 and 4,946.05 is: 7,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.99 : 11,796.72 = 4,946.05 : x
  2. Step 2: Convert to fraction form
    7,872.99/11,796.72 = 4,946.05/x
  3. Step 3: Cross multiply
    7,872.99x = 11,796.72 × 4,946.05
  4. Step 4: Simplify right side
    7,872.99x = 58,347,166.96
  5. Step 5: Solve for x
    x = 58,347,166.96/7,872.99
  6. Step 6: Final answer
    x = 7,411.06

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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.