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Finding the Fourth Proportional to 6,712.36, 10,068.77 and 1,782.50

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Solution

The fourth proportional to 6,712.36, 10,068.77 and 1,782.50 is: 2,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.36 : 10,068.77 = 1,782.50 : x
  2. Step 2: Convert to fraction form
    6,712.36/10,068.77 = 1,782.50/x
  3. Step 3: Cross multiply
    6,712.36x = 10,068.77 × 1,782.50
  4. Step 4: Simplify right side
    6,712.36x = 17,947,582.53
  5. Step 5: Solve for x
    x = 17,947,582.53/6,712.36
  6. Step 6: Final answer
    x = 2,673.81

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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.