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Finding the Fourth Proportional to 7,309.74, 11,009.54 and 6,796.42

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Solution

The fourth proportional to 7,309.74, 11,009.54 and 6,796.42 is: 10,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.74 : 11,009.54 = 6,796.42 : x
  2. Step 2: Convert to fraction form
    7,309.74/11,009.54 = 6,796.42/x
  3. Step 3: Cross multiply
    7,309.74x = 11,009.54 × 6,796.42
  4. Step 4: Simplify right side
    7,309.74x = 74,825,457.85
  5. Step 5: Solve for x
    x = 74,825,457.85/7,309.74
  6. Step 6: Final answer
    x = 10,236.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.