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Finding the Fourth Proportional to 9,147.46, 13,748.10 and 7,597.48

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Solution

The fourth proportional to 9,147.46, 13,748.10 and 7,597.48 is: 11,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.46 : 13,748.10 = 7,597.48 : x
  2. Step 2: Convert to fraction form
    9,147.46/13,748.10 = 7,597.48/x
  3. Step 3: Cross multiply
    9,147.46x = 13,748.10 × 7,597.48
  4. Step 4: Simplify right side
    9,147.46x = 104,450,914.79
  5. Step 5: Solve for x
    x = 104,450,914.79/9,147.46
  6. Step 6: Final answer
    x = 11,418.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.