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Finding the Fourth Proportional to 8,194.87, 11,309.90 and 4,658.62

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Solution

The fourth proportional to 8,194.87, 11,309.90 and 4,658.62 is: 6,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.87 : 11,309.90 = 4,658.62 : x
  2. Step 2: Convert to fraction form
    8,194.87/11,309.90 = 4,658.62/x
  3. Step 3: Cross multiply
    8,194.87x = 11,309.90 × 4,658.62
  4. Step 4: Simplify right side
    8,194.87x = 52,688,526.34
  5. Step 5: Solve for x
    x = 52,688,526.34/8,194.87
  6. Step 6: Final answer
    x = 6,429.45

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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.