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Finding the Fourth Proportional to 6,937.41, 9,564.01 and 4,695.73

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Solution

The fourth proportional to 6,937.41, 9,564.01 and 4,695.73 is: 6,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.41 : 9,564.01 = 4,695.73 : x
  2. Step 2: Convert to fraction form
    6,937.41/9,564.01 = 4,695.73/x
  3. Step 3: Cross multiply
    6,937.41x = 9,564.01 × 4,695.73
  4. Step 4: Simplify right side
    6,937.41x = 44,910,008.68
  5. Step 5: Solve for x
    x = 44,910,008.68/6,937.41
  6. Step 6: Final answer
    x = 6,473.60

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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.