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Finding the Fourth Proportional to 3,416.72, 5,124.99 and 951.71

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Solution

The fourth proportional to 3,416.72, 5,124.99 and 951.71 is: 1,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.72 : 5,124.99 = 951.71 : x
  2. Step 2: Convert to fraction form
    3,416.72/5,124.99 = 951.71/x
  3. Step 3: Cross multiply
    3,416.72x = 5,124.99 × 951.71
  4. Step 4: Simplify right side
    3,416.72x = 4,877,504.23
  5. Step 5: Solve for x
    x = 4,877,504.23/3,416.72
  6. Step 6: Final answer
    x = 1,427.54

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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.