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Finding the Fourth Proportional to 6,311.84, 8,713.92 and 5,048.72

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Solution

The fourth proportional to 6,311.84, 8,713.92 and 5,048.72 is: 6,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.84 : 8,713.92 = 5,048.72 : x
  2. Step 2: Convert to fraction form
    6,311.84/8,713.92 = 5,048.72/x
  3. Step 3: Cross multiply
    6,311.84x = 8,713.92 × 5,048.72
  4. Step 4: Simplify right side
    6,311.84x = 43,994,142.18
  5. Step 5: Solve for x
    x = 43,994,142.18/6,311.84
  6. Step 6: Final answer
    x = 6,970.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.