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Finding the Fourth Proportional to 8,698.50, 13,050 and 2,855.16

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Solution

The fourth proportional to 8,698.50, 13,050 and 2,855.16 is: 4,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.50 : 13,050 = 2,855.16 : x
  2. Step 2: Convert to fraction form
    8,698.50/13,050 = 2,855.16/x
  3. Step 3: Cross multiply
    8,698.50x = 13,050 × 2,855.16
  4. Step 4: Simplify right side
    8,698.50x = 37,259,838
  5. Step 5: Solve for x
    x = 37,259,838/8,698.50
  6. Step 6: Final answer
    x = 4,283.48

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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.