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Finding the Fourth Proportional to 6,509.33, 9,753.77 and 5,032.17

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Solution

The fourth proportional to 6,509.33, 9,753.77 and 5,032.17 is: 7,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.33 : 9,753.77 = 5,032.17 : x
  2. Step 2: Convert to fraction form
    6,509.33/9,753.77 = 5,032.17/x
  3. Step 3: Cross multiply
    6,509.33x = 9,753.77 × 5,032.17
  4. Step 4: Simplify right side
    6,509.33x = 49,082,628.78
  5. Step 5: Solve for x
    x = 49,082,628.78/6,509.33
  6. Step 6: Final answer
    x = 7,540.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.