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Finding the Fourth Proportional to 6,382.76, 9,569.52 and 4,297.59

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Solution

The fourth proportional to 6,382.76, 9,569.52 and 4,297.59 is: 6,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.76 : 9,569.52 = 4,297.59 : x
  2. Step 2: Convert to fraction form
    6,382.76/9,569.52 = 4,297.59/x
  3. Step 3: Cross multiply
    6,382.76x = 9,569.52 × 4,297.59
  4. Step 4: Simplify right side
    6,382.76x = 41,125,873.46
  5. Step 5: Solve for x
    x = 41,125,873.46/6,382.76
  6. Step 6: Final answer
    x = 6,443.28

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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.