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Finding the Fourth Proportional to 6,684.43, 9,228.71 and 4,295.47

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Solution

The fourth proportional to 6,684.43, 9,228.71 and 4,295.47 is: 5,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.43 : 9,228.71 = 4,295.47 : x
  2. Step 2: Convert to fraction form
    6,684.43/9,228.71 = 4,295.47/x
  3. Step 3: Cross multiply
    6,684.43x = 9,228.71 × 4,295.47
  4. Step 4: Simplify right side
    6,684.43x = 39,641,646.94
  5. Step 5: Solve for x
    x = 39,641,646.94/6,684.43
  6. Step 6: Final answer
    x = 5,930.45

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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.