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Finding the Fourth Proportional to 9,906.30, 13,672.19 and 5,658.26

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Solution

The fourth proportional to 9,906.30, 13,672.19 and 5,658.26 is: 7,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.30 : 13,672.19 = 5,658.26 : x
  2. Step 2: Convert to fraction form
    9,906.30/13,672.19 = 5,658.26/x
  3. Step 3: Cross multiply
    9,906.30x = 13,672.19 × 5,658.26
  4. Step 4: Simplify right side
    9,906.30x = 77,360,751.57
  5. Step 5: Solve for x
    x = 77,360,751.57/9,906.30
  6. Step 6: Final answer
    x = 7,809.25

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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.