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Finding the Fourth Proportional to 7,844.85, 10,800.54 and 6,357.69

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Solution

The fourth proportional to 7,844.85, 10,800.54 and 6,357.69 is: 8,753.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.85 : 10,800.54 = 6,357.69 : x
  2. Step 2: Convert to fraction form
    7,844.85/10,800.54 = 6,357.69/x
  3. Step 3: Cross multiply
    7,844.85x = 10,800.54 × 6,357.69
  4. Step 4: Simplify right side
    7,844.85x = 68,666,485.15
  5. Step 5: Solve for x
    x = 68,666,485.15/7,844.85
  6. Step 6: Final answer
    x = 8,753.07

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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.