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Finding the Fourth Proportional to 6,522, 9,766.48 and 3,602.76

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Solution

The fourth proportional to 6,522, 9,766.48 and 3,602.76 is: 5,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522 : 9,766.48 = 3,602.76 : x
  2. Step 2: Convert to fraction form
    6,522/9,766.48 = 3,602.76/x
  3. Step 3: Cross multiply
    6,522x = 9,766.48 × 3,602.76
  4. Step 4: Simplify right side
    6,522x = 35,186,283.48
  5. Step 5: Solve for x
    x = 35,186,283.48/6,522
  6. Step 6: Final answer
    x = 5,395.01

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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.