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Finding the Fourth Proportional to 6,970.08, 10,456.20 and 2,352

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Solution

The fourth proportional to 6,970.08, 10,456.20 and 2,352 is: 3,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.08 : 10,456.20 = 2,352 : x
  2. Step 2: Convert to fraction form
    6,970.08/10,456.20 = 2,352/x
  3. Step 3: Cross multiply
    6,970.08x = 10,456.20 × 2,352
  4. Step 4: Simplify right side
    6,970.08x = 24,592,982.40
  5. Step 5: Solve for x
    x = 24,592,982.40/6,970.08
  6. Step 6: Final answer
    x = 3,528.36

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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.