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Finding the Fourth Proportional to 6,193, 9,290.94 and 4,458.52

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Solution

The fourth proportional to 6,193, 9,290.94 and 4,458.52 is: 6,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193 : 9,290.94 = 4,458.52 : x
  2. Step 2: Convert to fraction form
    6,193/9,290.94 = 4,458.52/x
  3. Step 3: Cross multiply
    6,193x = 9,290.94 × 4,458.52
  4. Step 4: Simplify right side
    6,193x = 41,423,841.81
  5. Step 5: Solve for x
    x = 41,423,841.81/6,193
  6. Step 6: Final answer
    x = 6,688.82

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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.