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Finding the Fourth Proportional to 6,397.69, 8,827.26 and 3,603.19

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Solution

The fourth proportional to 6,397.69, 8,827.26 and 3,603.19 is: 4,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.69 : 8,827.26 = 3,603.19 : x
  2. Step 2: Convert to fraction form
    6,397.69/8,827.26 = 3,603.19/x
  3. Step 3: Cross multiply
    6,397.69x = 8,827.26 × 3,603.19
  4. Step 4: Simplify right side
    6,397.69x = 31,806,250.82
  5. Step 5: Solve for x
    x = 31,806,250.82/6,397.69
  6. Step 6: Final answer
    x = 4,971.52

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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.