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Finding the Fourth Proportional to 12,141.13, 16,750.91 and 6,834.93

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Solution

The fourth proportional to 12,141.13, 16,750.91 and 6,834.93 is: 9,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.13 : 16,750.91 = 6,834.93 : x
  2. Step 2: Convert to fraction form
    12,141.13/16,750.91 = 6,834.93/x
  3. Step 3: Cross multiply
    12,141.13x = 16,750.91 × 6,834.93
  4. Step 4: Simplify right side
    12,141.13x = 114,491,227.77
  5. Step 5: Solve for x
    x = 114,491,227.77/12,141.13
  6. Step 6: Final answer
    x = 9,430.03

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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.