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Finding the Fourth Proportional to 11,378.70, 17,068.05 and 10,212.30

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Solution

The fourth proportional to 11,378.70, 17,068.05 and 10,212.30 is: 15,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.70 : 17,068.05 = 10,212.30 : x
  2. Step 2: Convert to fraction form
    11,378.70/17,068.05 = 10,212.30/x
  3. Step 3: Cross multiply
    11,378.70x = 17,068.05 × 10,212.30
  4. Step 4: Simplify right side
    11,378.70x = 174,304,047.02
  5. Step 5: Solve for x
    x = 174,304,047.02/11,378.70
  6. Step 6: Final answer
    x = 15,318.45

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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.