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Finding the Fourth Proportional to 7,662.06, 10,574.09 and 5,770.31

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Solution

The fourth proportional to 7,662.06, 10,574.09 and 5,770.31 is: 7,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.06 : 10,574.09 = 5,770.31 : x
  2. Step 2: Convert to fraction form
    7,662.06/10,574.09 = 5,770.31/x
  3. Step 3: Cross multiply
    7,662.06x = 10,574.09 × 5,770.31
  4. Step 4: Simplify right side
    7,662.06x = 61,015,749.64
  5. Step 5: Solve for x
    x = 61,015,749.64/7,662.06
  6. Step 6: Final answer
    x = 7,963.36

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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.