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Finding the Fourth Proportional to 9,737.45, 13,444.09 and 7,495.37

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Solution

The fourth proportional to 9,737.45, 13,444.09 and 7,495.37 is: 10,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.45 : 13,444.09 = 7,495.37 : x
  2. Step 2: Convert to fraction form
    9,737.45/13,444.09 = 7,495.37/x
  3. Step 3: Cross multiply
    9,737.45x = 13,444.09 × 7,495.37
  4. Step 4: Simplify right side
    9,737.45x = 100,768,342.90
  5. Step 5: Solve for x
    x = 100,768,342.90/9,737.45
  6. Step 6: Final answer
    x = 10,348.54

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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.