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Finding the Fourth Proportional to 6,397.07, 8,827.70 and 3,564.30

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Solution

The fourth proportional to 6,397.07, 8,827.70 and 3,564.30 is: 4,918.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.07 : 8,827.70 = 3,564.30 : x
  2. Step 2: Convert to fraction form
    6,397.07/8,827.70 = 3,564.30/x
  3. Step 3: Cross multiply
    6,397.07x = 8,827.70 × 3,564.30
  4. Step 4: Simplify right side
    6,397.07x = 31,464,553.29
  5. Step 5: Solve for x
    x = 31,464,553.29/6,397.07
  6. Step 6: Final answer
    x = 4,918.59

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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.