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Finding the Fourth Proportional to 9,589.75, 13,239.92 and 7,347.46

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Solution

The fourth proportional to 9,589.75, 13,239.92 and 7,347.46 is: 10,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.75 : 13,239.92 = 7,347.46 : x
  2. Step 2: Convert to fraction form
    9,589.75/13,239.92 = 7,347.46/x
  3. Step 3: Cross multiply
    9,589.75x = 13,239.92 × 7,347.46
  4. Step 4: Simplify right side
    9,589.75x = 97,279,782.60
  5. Step 5: Solve for x
    x = 97,279,782.60/9,589.75
  6. Step 6: Final answer
    x = 10,144.14

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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.