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Finding the Fourth Proportional to 11,389.70, 17,102.15 and 6,205.70

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Solution

The fourth proportional to 11,389.70, 17,102.15 and 6,205.70 is: 9,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.70 : 17,102.15 = 6,205.70 : x
  2. Step 2: Convert to fraction form
    11,389.70/17,102.15 = 6,205.70/x
  3. Step 3: Cross multiply
    11,389.70x = 17,102.15 × 6,205.70
  4. Step 4: Simplify right side
    11,389.70x = 106,130,812.26
  5. Step 5: Solve for x
    x = 106,130,812.26/11,389.70
  6. Step 6: Final answer
    x = 9,318.14

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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.