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Finding the Fourth Proportional to 6,498.03, 8,967.80 and 3,703.47

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Solution

The fourth proportional to 6,498.03, 8,967.80 and 3,703.47 is: 5,111.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.03 : 8,967.80 = 3,703.47 : x
  2. Step 2: Convert to fraction form
    6,498.03/8,967.80 = 3,703.47/x
  3. Step 3: Cross multiply
    6,498.03x = 8,967.80 × 3,703.47
  4. Step 4: Simplify right side
    6,498.03x = 33,211,959.75
  5. Step 5: Solve for x
    x = 33,211,959.75/6,498.03
  6. Step 6: Final answer
    x = 5,111.08

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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.