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Finding the Fourth Proportional to 6,840.24, 9,444.06 and 6,369.30

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Solution

The fourth proportional to 6,840.24, 9,444.06 and 6,369.30 is: 8,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.24 : 9,444.06 = 6,369.30 : x
  2. Step 2: Convert to fraction form
    6,840.24/9,444.06 = 6,369.30/x
  3. Step 3: Cross multiply
    6,840.24x = 9,444.06 × 6,369.30
  4. Step 4: Simplify right side
    6,840.24x = 60,152,051.36
  5. Step 5: Solve for x
    x = 60,152,051.36/6,840.24
  6. Step 6: Final answer
    x = 8,793.85

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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.