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Finding the Fourth Proportional to 9,855.52, 14,786.16 and 3,700

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Solution

The fourth proportional to 9,855.52, 14,786.16 and 3,700 is: 5,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.52 : 14,786.16 = 3,700 : x
  2. Step 2: Convert to fraction form
    9,855.52/14,786.16 = 3,700/x
  3. Step 3: Cross multiply
    9,855.52x = 14,786.16 × 3,700
  4. Step 4: Simplify right side
    9,855.52x = 54,708,792
  5. Step 5: Solve for x
    x = 54,708,792/9,855.52
  6. Step 6: Final answer
    x = 5,551.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.