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Finding the Fourth Proportional to 10,940.70, 16,411.05 and 7,182.30

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Solution

The fourth proportional to 10,940.70, 16,411.05 and 7,182.30 is: 10,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.70 : 16,411.05 = 7,182.30 : x
  2. Step 2: Convert to fraction form
    10,940.70/16,411.05 = 7,182.30/x
  3. Step 3: Cross multiply
    10,940.70x = 16,411.05 × 7,182.30
  4. Step 4: Simplify right side
    10,940.70x = 117,869,084.42
  5. Step 5: Solve for x
    x = 117,869,084.42/10,940.70
  6. Step 6: Final answer
    x = 10,773.45

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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.