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Finding the Fourth Proportional to 7,342.88, 10,147.74 and 6,014.48

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Solution

The fourth proportional to 7,342.88, 10,147.74 and 6,014.48 is: 8,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.88 : 10,147.74 = 6,014.48 : x
  2. Step 2: Convert to fraction form
    7,342.88/10,147.74 = 6,014.48/x
  3. Step 3: Cross multiply
    7,342.88x = 10,147.74 × 6,014.48
  4. Step 4: Simplify right side
    7,342.88x = 61,033,379.28
  5. Step 5: Solve for x
    x = 61,033,379.28/7,342.88
  6. Step 6: Final answer
    x = 8,311.91

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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.