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Finding the Fourth Proportional to 6,695.96, 9,235.80 and 4,596.44

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Solution

The fourth proportional to 6,695.96, 9,235.80 and 4,596.44 is: 6,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.96 : 9,235.80 = 4,596.44 : x
  2. Step 2: Convert to fraction form
    6,695.96/9,235.80 = 4,596.44/x
  3. Step 3: Cross multiply
    6,695.96x = 9,235.80 × 4,596.44
  4. Step 4: Simplify right side
    6,695.96x = 42,451,800.55
  5. Step 5: Solve for x
    x = 42,451,800.55/6,695.96
  6. Step 6: Final answer
    x = 6,339.91

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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.