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Finding the Fourth Proportional to 6,503.05, 8,971.98 and 3,670.08

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Solution

The fourth proportional to 6,503.05, 8,971.98 and 3,670.08 is: 5,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.05 : 8,971.98 = 3,670.08 : x
  2. Step 2: Convert to fraction form
    6,503.05/8,971.98 = 3,670.08/x
  3. Step 3: Cross multiply
    6,503.05x = 8,971.98 × 3,670.08
  4. Step 4: Simplify right side
    6,503.05x = 32,927,836.95
  5. Step 5: Solve for x
    x = 32,927,836.95/6,503.05
  6. Step 6: Final answer
    x = 5,063.44

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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.