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Finding the Fourth Proportional to 6,970.60, 10,456.80 and 3,462.40

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Solution

The fourth proportional to 6,970.60, 10,456.80 and 3,462.40 is: 5,194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.60 : 10,456.80 = 3,462.40 : x
  2. Step 2: Convert to fraction form
    6,970.60/10,456.80 = 3,462.40/x
  3. Step 3: Cross multiply
    6,970.60x = 10,456.80 × 3,462.40
  4. Step 4: Simplify right side
    6,970.60x = 36,205,624.32
  5. Step 5: Solve for x
    x = 36,205,624.32/6,970.60
  6. Step 6: Final answer
    x = 5,194.05

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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.