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Finding the Fourth Proportional to 8,295.38, 11,447.63 and 4,569.38

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Solution

The fourth proportional to 8,295.38, 11,447.63 and 4,569.38 is: 6,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.38 : 11,447.63 = 4,569.38 : x
  2. Step 2: Convert to fraction form
    8,295.38/11,447.63 = 4,569.38/x
  3. Step 3: Cross multiply
    8,295.38x = 11,447.63 × 4,569.38
  4. Step 4: Simplify right side
    8,295.38x = 52,308,491.48
  5. Step 5: Solve for x
    x = 52,308,491.48/8,295.38
  6. Step 6: Final answer
    x = 6,305.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.