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Finding the Fourth Proportional to 6,574.44, 9,082.32 and 5,688.70

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Solution

The fourth proportional to 6,574.44, 9,082.32 and 5,688.70 is: 7,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.44 : 9,082.32 = 5,688.70 : x
  2. Step 2: Convert to fraction form
    6,574.44/9,082.32 = 5,688.70/x
  3. Step 3: Cross multiply
    6,574.44x = 9,082.32 × 5,688.70
  4. Step 4: Simplify right side
    6,574.44x = 51,666,593.78
  5. Step 5: Solve for x
    x = 51,666,593.78/6,574.44
  6. Step 6: Final answer
    x = 7,858.71

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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.