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Finding the Fourth Proportional to 6,737, 9,297.94 and 4,085.40

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Solution

The fourth proportional to 6,737, 9,297.94 and 4,085.40 is: 5,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737 : 9,297.94 = 4,085.40 : x
  2. Step 2: Convert to fraction form
    6,737/9,297.94 = 4,085.40/x
  3. Step 3: Cross multiply
    6,737x = 9,297.94 × 4,085.40
  4. Step 4: Simplify right side
    6,737x = 37,985,804.08
  5. Step 5: Solve for x
    x = 37,985,804.08/6,737
  6. Step 6: Final answer
    x = 5,638.39

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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.