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Finding the Fourth Proportional to 6,970.20, 10,455.30 and 6,605.70

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Solution

The fourth proportional to 6,970.20, 10,455.30 and 6,605.70 is: 9,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.20 : 10,455.30 = 6,605.70 : x
  2. Step 2: Convert to fraction form
    6,970.20/10,455.30 = 6,605.70/x
  3. Step 3: Cross multiply
    6,970.20x = 10,455.30 × 6,605.70
  4. Step 4: Simplify right side
    6,970.20x = 69,064,575.21
  5. Step 5: Solve for x
    x = 69,064,575.21/6,970.20
  6. Step 6: Final answer
    x = 9,908.55

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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.