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Finding the Fourth Proportional to 6,524.64, 9,785.52 and 2,364

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Solution

The fourth proportional to 6,524.64, 9,785.52 and 2,364 is: 3,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.64 : 9,785.52 = 2,364 : x
  2. Step 2: Convert to fraction form
    6,524.64/9,785.52 = 2,364/x
  3. Step 3: Cross multiply
    6,524.64x = 9,785.52 × 2,364
  4. Step 4: Simplify right side
    6,524.64x = 23,132,969.28
  5. Step 5: Solve for x
    x = 23,132,969.28/6,524.64
  6. Step 6: Final answer
    x = 3,545.48

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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.