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Finding the Fourth Proportional to 6,969.24, 9,576.63 and 5,569.56

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Solution

The fourth proportional to 6,969.24, 9,576.63 and 5,569.56 is: 7,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.24 : 9,576.63 = 5,569.56 : x
  2. Step 2: Convert to fraction form
    6,969.24/9,576.63 = 5,569.56/x
  3. Step 3: Cross multiply
    6,969.24x = 9,576.63 × 5,569.56
  4. Step 4: Simplify right side
    6,969.24x = 53,337,615.38
  5. Step 5: Solve for x
    x = 53,337,615.38/6,969.24
  6. Step 6: Final answer
    x = 7,653.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.