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Finding the Fourth Proportional to 9,887.27, 13,646.88 and 6,743.25

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Solution

The fourth proportional to 9,887.27, 13,646.88 and 6,743.25 is: 9,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.27 : 13,646.88 = 6,743.25 : x
  2. Step 2: Convert to fraction form
    9,887.27/13,646.88 = 6,743.25/x
  3. Step 3: Cross multiply
    9,887.27x = 13,646.88 × 6,743.25
  4. Step 4: Simplify right side
    9,887.27x = 92,024,323.56
  5. Step 5: Solve for x
    x = 92,024,323.56/9,887.27
  6. Step 6: Final answer
    x = 9,307.36

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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.