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Finding the Fourth Proportional to 8,295.68, 11,447.52 and 4,569.68

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Solution

The fourth proportional to 8,295.68, 11,447.52 and 4,569.68 is: 6,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.68 : 11,447.52 = 4,569.68 : x
  2. Step 2: Convert to fraction form
    8,295.68/11,447.52 = 4,569.68/x
  3. Step 3: Cross multiply
    8,295.68x = 11,447.52 × 4,569.68
  4. Step 4: Simplify right side
    8,295.68x = 52,311,503.19
  5. Step 5: Solve for x
    x = 52,311,503.19/8,295.68
  6. Step 6: Final answer
    x = 6,305.87

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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.