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Finding the Fourth Proportional to 11,384.96, 15,701.00 and 7,136.43

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Solution

The fourth proportional to 11,384.96, 15,701.00 and 7,136.43 is: 9,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.96 : 15,701.00 = 7,136.43 : x
  2. Step 2: Convert to fraction form
    11,384.96/15,701.00 = 7,136.43/x
  3. Step 3: Cross multiply
    11,384.96x = 15,701.00 × 7,136.43
  4. Step 4: Simplify right side
    11,384.96x = 112,049,051.75
  5. Step 5: Solve for x
    x = 112,049,051.75/11,384.96
  6. Step 6: Final answer
    x = 9,841.85

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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.