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Finding the Fourth Proportional to 9,743.32, 13,382.98 and 9,556.53

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Solution

The fourth proportional to 9,743.32, 13,382.98 and 9,556.53 is: 13,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.32 : 13,382.98 = 9,556.53 : x
  2. Step 2: Convert to fraction form
    9,743.32/13,382.98 = 9,556.53/x
  3. Step 3: Cross multiply
    9,743.32x = 13,382.98 × 9,556.53
  4. Step 4: Simplify right side
    9,743.32x = 127,894,849.86
  5. Step 5: Solve for x
    x = 127,894,849.86/9,743.32
  6. Step 6: Final answer
    x = 13,126.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.