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Finding the Fourth Proportional to 6,465.72, 9,651.51 and 5,984.28

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Solution

The fourth proportional to 6,465.72, 9,651.51 and 5,984.28 is: 8,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.72 : 9,651.51 = 5,984.28 : x
  2. Step 2: Convert to fraction form
    6,465.72/9,651.51 = 5,984.28/x
  3. Step 3: Cross multiply
    6,465.72x = 9,651.51 × 5,984.28
  4. Step 4: Simplify right side
    6,465.72x = 57,757,338.26
  5. Step 5: Solve for x
    x = 57,757,338.26/6,465.72
  6. Step 6: Final answer
    x = 8,932.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.