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Finding the Fourth Proportional to 7,058.74, 9,741 and 3,914.86

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Solution

The fourth proportional to 7,058.74, 9,741 and 3,914.86 is: 5,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.74 : 9,741 = 3,914.86 : x
  2. Step 2: Convert to fraction form
    7,058.74/9,741 = 3,914.86/x
  3. Step 3: Cross multiply
    7,058.74x = 9,741 × 3,914.86
  4. Step 4: Simplify right side
    7,058.74x = 38,134,651.26
  5. Step 5: Solve for x
    x = 38,134,651.26/7,058.74
  6. Step 6: Final answer
    x = 5,402.47

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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.