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Finding the Fourth Proportional to 11,300.13, 16,950.13 and 6,138.81

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Solution

The fourth proportional to 11,300.13, 16,950.13 and 6,138.81 is: 9,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.13 : 16,950.13 = 6,138.81 : x
  2. Step 2: Convert to fraction form
    11,300.13/16,950.13 = 6,138.81/x
  3. Step 3: Cross multiply
    11,300.13x = 16,950.13 × 6,138.81
  4. Step 4: Simplify right side
    11,300.13x = 104,053,612.20
  5. Step 5: Solve for x
    x = 104,053,612.20/11,300.13
  6. Step 6: Final answer
    x = 9,208.18

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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.