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Finding the Fourth Proportional to 6,968.50, 10,451.64 and 1,970.35

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Solution

The fourth proportional to 6,968.50, 10,451.64 and 1,970.35 is: 2,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.50 : 10,451.64 = 1,970.35 : x
  2. Step 2: Convert to fraction form
    6,968.50/10,451.64 = 1,970.35/x
  3. Step 3: Cross multiply
    6,968.50x = 10,451.64 × 1,970.35
  4. Step 4: Simplify right side
    6,968.50x = 20,593,389.83
  5. Step 5: Solve for x
    x = 20,593,389.83/6,968.50
  6. Step 6: Final answer
    x = 2,955.21

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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.