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Finding the Fourth Proportional to 9,813.71, 13,542.75 and 5,834.99

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Solution

The fourth proportional to 9,813.71, 13,542.75 and 5,834.99 is: 8,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.71 : 13,542.75 = 5,834.99 : x
  2. Step 2: Convert to fraction form
    9,813.71/13,542.75 = 5,834.99/x
  3. Step 3: Cross multiply
    9,813.71x = 13,542.75 × 5,834.99
  4. Step 4: Simplify right side
    9,813.71x = 79,021,743.11
  5. Step 5: Solve for x
    x = 79,021,743.11/9,813.71
  6. Step 6: Final answer
    x = 8,052.18

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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.