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Finding the Fourth Proportional to 7,147.80, 10,697.40 and 6,564.60

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Solution

The fourth proportional to 7,147.80, 10,697.40 and 6,564.60 is: 9,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.80 : 10,697.40 = 6,564.60 : x
  2. Step 2: Convert to fraction form
    7,147.80/10,697.40 = 6,564.60/x
  3. Step 3: Cross multiply
    7,147.80x = 10,697.40 × 6,564.60
  4. Step 4: Simplify right side
    7,147.80x = 70,224,152.04
  5. Step 5: Solve for x
    x = 70,224,152.04/7,147.80
  6. Step 6: Final answer
    x = 9,824.58

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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.