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Finding the Fourth Proportional to 6,397.34, 8,827.74 and 3,564.44

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Solution

The fourth proportional to 6,397.34, 8,827.74 and 3,564.44 is: 4,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.34 : 8,827.74 = 3,564.44 : x
  2. Step 2: Convert to fraction form
    6,397.34/8,827.74 = 3,564.44/x
  3. Step 3: Cross multiply
    6,397.34x = 8,827.74 × 3,564.44
  4. Step 4: Simplify right side
    6,397.34x = 31,465,949.57
  5. Step 5: Solve for x
    x = 31,465,949.57/6,397.34
  6. Step 6: Final answer
    x = 4,918.60

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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.