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Finding the Fourth Proportional to 6,647.50, 9,973.19 and 1,967.63

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Solution

The fourth proportional to 6,647.50, 9,973.19 and 1,967.63 is: 2,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.50 : 9,973.19 = 1,967.63 : x
  2. Step 2: Convert to fraction form
    6,647.50/9,973.19 = 1,967.63/x
  3. Step 3: Cross multiply
    6,647.50x = 9,973.19 × 1,967.63
  4. Step 4: Simplify right side
    6,647.50x = 19,623,547.84
  5. Step 5: Solve for x
    x = 19,623,547.84/6,647.50
  6. Step 6: Final answer
    x = 2,952.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.