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Finding the Fourth Proportional to 6,136.96, 8,462.88 and 5,014.40

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Solution

The fourth proportional to 6,136.96, 8,462.88 and 5,014.40 is: 6,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.96 : 8,462.88 = 5,014.40 : x
  2. Step 2: Convert to fraction form
    6,136.96/8,462.88 = 5,014.40/x
  3. Step 3: Cross multiply
    6,136.96x = 8,462.88 × 5,014.40
  4. Step 4: Simplify right side
    6,136.96x = 42,436,265.47
  5. Step 5: Solve for x
    x = 42,436,265.47/6,136.96
  6. Step 6: Final answer
    x = 6,914.87

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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.