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Finding the Fourth Proportional to 6,926.76, 9,565.74 and 5,796.36

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Solution

The fourth proportional to 6,926.76, 9,565.74 and 5,796.36 is: 8,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.76 : 9,565.74 = 5,796.36 : x
  2. Step 2: Convert to fraction form
    6,926.76/9,565.74 = 5,796.36/x
  3. Step 3: Cross multiply
    6,926.76x = 9,565.74 × 5,796.36
  4. Step 4: Simplify right side
    6,926.76x = 55,446,472.71
  5. Step 5: Solve for x
    x = 55,446,472.71/6,926.76
  6. Step 6: Final answer
    x = 8,004.68

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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.