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Finding the Fourth Proportional to 6,365.43, 9,504 and 5,971.77

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Solution

The fourth proportional to 6,365.43, 9,504 and 5,971.77 is: 8,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.43 : 9,504 = 5,971.77 : x
  2. Step 2: Convert to fraction form
    6,365.43/9,504 = 5,971.77/x
  3. Step 3: Cross multiply
    6,365.43x = 9,504 × 5,971.77
  4. Step 4: Simplify right side
    6,365.43x = 56,755,702.08
  5. Step 5: Solve for x
    x = 56,755,702.08/6,365.43
  6. Step 6: Final answer
    x = 8,916.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.