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Finding the Fourth Proportional to 9,929.32, 13,703.62 and 5,737.48

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Solution

The fourth proportional to 9,929.32, 13,703.62 and 5,737.48 is: 7,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.32 : 13,703.62 = 5,737.48 : x
  2. Step 2: Convert to fraction form
    9,929.32/13,703.62 = 5,737.48/x
  3. Step 3: Cross multiply
    9,929.32x = 13,703.62 × 5,737.48
  4. Step 4: Simplify right side
    9,929.32x = 78,624,245.68
  5. Step 5: Solve for x
    x = 78,624,245.68/9,929.32
  6. Step 6: Final answer
    x = 7,918.39

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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.