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Finding the Fourth Proportional to 6,270.64, 9,405.87 and 1,526.85

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Solution

The fourth proportional to 6,270.64, 9,405.87 and 1,526.85 is: 2,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.64 : 9,405.87 = 1,526.85 : x
  2. Step 2: Convert to fraction form
    6,270.64/9,405.87 = 1,526.85/x
  3. Step 3: Cross multiply
    6,270.64x = 9,405.87 × 1,526.85
  4. Step 4: Simplify right side
    6,270.64x = 14,361,305.58
  5. Step 5: Solve for x
    x = 14,361,305.58/6,270.64
  6. Step 6: Final answer
    x = 2,290.25

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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.