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Finding the Fourth Proportional to 9,816.77, 13,542.62 and 5,835.62

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Solution

The fourth proportional to 9,816.77, 13,542.62 and 5,835.62 is: 8,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.77 : 13,542.62 = 5,835.62 : x
  2. Step 2: Convert to fraction form
    9,816.77/13,542.62 = 5,835.62/x
  3. Step 3: Cross multiply
    9,816.77x = 13,542.62 × 5,835.62
  4. Step 4: Simplify right side
    9,816.77x = 79,029,487.23
  5. Step 5: Solve for x
    x = 79,029,487.23/9,816.77
  6. Step 6: Final answer
    x = 8,050.46

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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.