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Finding the Fourth Proportional to 6,523.52, 9,785.28 and 5,366.84

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Solution

The fourth proportional to 6,523.52, 9,785.28 and 5,366.84 is: 8,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.52 : 9,785.28 = 5,366.84 : x
  2. Step 2: Convert to fraction form
    6,523.52/9,785.28 = 5,366.84/x
  3. Step 3: Cross multiply
    6,523.52x = 9,785.28 × 5,366.84
  4. Step 4: Simplify right side
    6,523.52x = 52,516,032.12
  5. Step 5: Solve for x
    x = 52,516,032.12/6,523.52
  6. Step 6: Final answer
    x = 8,050.26

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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.