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Finding the Fourth Proportional to 6,698.60, 10,048.72 and 2,802.50

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Solution

The fourth proportional to 6,698.60, 10,048.72 and 2,802.50 is: 4,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.60 : 10,048.72 = 2,802.50 : x
  2. Step 2: Convert to fraction form
    6,698.60/10,048.72 = 2,802.50/x
  3. Step 3: Cross multiply
    6,698.60x = 10,048.72 × 2,802.50
  4. Step 4: Simplify right side
    6,698.60x = 28,161,537.80
  5. Step 5: Solve for x
    x = 28,161,537.80/6,698.60
  6. Step 6: Final answer
    x = 4,204.09

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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.