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Finding the Fourth Proportional to 7,065.69, 9,739.27 and 4,796.34

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Solution

The fourth proportional to 7,065.69, 9,739.27 and 4,796.34 is: 6,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.69 : 9,739.27 = 4,796.34 : x
  2. Step 2: Convert to fraction form
    7,065.69/9,739.27 = 4,796.34/x
  3. Step 3: Cross multiply
    7,065.69x = 9,739.27 × 4,796.34
  4. Step 4: Simplify right side
    7,065.69x = 46,712,847.14
  5. Step 5: Solve for x
    x = 46,712,847.14/7,065.69
  6. Step 6: Final answer
    x = 6,611.22

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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.