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Finding the Fourth Proportional to 9,462.64, 14,192.34 and 3,136.74

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Solution

The fourth proportional to 9,462.64, 14,192.34 and 3,136.74 is: 4,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.64 : 14,192.34 = 3,136.74 : x
  2. Step 2: Convert to fraction form
    9,462.64/14,192.34 = 3,136.74/x
  3. Step 3: Cross multiply
    9,462.64x = 14,192.34 × 3,136.74
  4. Step 4: Simplify right side
    9,462.64x = 44,517,668.81
  5. Step 5: Solve for x
    x = 44,517,668.81/9,462.64
  6. Step 6: Final answer
    x = 4,704.57

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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.