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Finding the Fourth Proportional to 6,827.70, 10,263.15 and 6,309.30

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Solution

The fourth proportional to 6,827.70, 10,263.15 and 6,309.30 is: 9,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.70 : 10,263.15 = 6,309.30 : x
  2. Step 2: Convert to fraction form
    6,827.70/10,263.15 = 6,309.30/x
  3. Step 3: Cross multiply
    6,827.70x = 10,263.15 × 6,309.30
  4. Step 4: Simplify right side
    6,827.70x = 64,753,292.30
  5. Step 5: Solve for x
    x = 64,753,292.30/6,827.70
  6. Step 6: Final answer
    x = 9,483.91

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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.