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Finding the Fourth Proportional to 6,970.03, 10,455.90 and 2,290.55

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Solution

The fourth proportional to 6,970.03, 10,455.90 and 2,290.55 is: 3,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.03 : 10,455.90 = 2,290.55 : x
  2. Step 2: Convert to fraction form
    6,970.03/10,455.90 = 2,290.55/x
  3. Step 3: Cross multiply
    6,970.03x = 10,455.90 × 2,290.55
  4. Step 4: Simplify right side
    6,970.03x = 23,949,761.75
  5. Step 5: Solve for x
    x = 23,949,761.75/6,970.03
  6. Step 6: Final answer
    x = 3,436.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.