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Finding the Fourth Proportional to 6,970.50, 10,457.37 and 2,353.50

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Solution

The fourth proportional to 6,970.50, 10,457.37 and 2,353.50 is: 3,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.50 : 10,457.37 = 2,353.50 : x
  2. Step 2: Convert to fraction form
    6,970.50/10,457.37 = 2,353.50/x
  3. Step 3: Cross multiply
    6,970.50x = 10,457.37 × 2,353.50
  4. Step 4: Simplify right side
    6,970.50x = 24,611,420.30
  5. Step 5: Solve for x
    x = 24,611,420.30/6,970.50
  6. Step 6: Final answer
    x = 3,530.80

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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.