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Finding the Fourth Proportional to 6,970.34, 10,455.60 and 2,353.34

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Solution

The fourth proportional to 6,970.34, 10,455.60 and 2,353.34 is: 3,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.34 : 10,455.60 = 2,353.34 : x
  2. Step 2: Convert to fraction form
    6,970.34/10,455.60 = 2,353.34/x
  3. Step 3: Cross multiply
    6,970.34x = 10,455.60 × 2,353.34
  4. Step 4: Simplify right side
    6,970.34x = 24,605,581.70
  5. Step 5: Solve for x
    x = 24,605,581.70/6,970.34
  6. Step 6: Final answer
    x = 3,530.04

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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.