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Finding the Fourth Proportional to 6,005.43, 8,287 and 3,486.74

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Solution

The fourth proportional to 6,005.43, 8,287 and 3,486.74 is: 4,811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.43 : 8,287 = 3,486.74 : x
  2. Step 2: Convert to fraction form
    6,005.43/8,287 = 3,486.74/x
  3. Step 3: Cross multiply
    6,005.43x = 8,287 × 3,486.74
  4. Step 4: Simplify right side
    6,005.43x = 28,894,614.38
  5. Step 5: Solve for x
    x = 28,894,614.38/6,005.43
  6. Step 6: Final answer
    x = 4,811.41

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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.