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Finding the Fourth Proportional to 9,672.40, 13,342.84 and 7,310.44

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Solution

The fourth proportional to 9,672.40, 13,342.84 and 7,310.44 is: 10,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.40 : 13,342.84 = 7,310.44 : x
  2. Step 2: Convert to fraction form
    9,672.40/13,342.84 = 7,310.44/x
  3. Step 3: Cross multiply
    9,672.40x = 13,342.84 × 7,310.44
  4. Step 4: Simplify right side
    9,672.40x = 97,542,031.25
  5. Step 5: Solve for x
    x = 97,542,031.25/9,672.40
  6. Step 6: Final answer
    x = 10,084.57

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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.