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Finding the Fourth Proportional to 6,532.08, 9,847.08 and 6,097.60

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Solution

The fourth proportional to 6,532.08, 9,847.08 and 6,097.60 is: 9,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.08 : 9,847.08 = 6,097.60 : x
  2. Step 2: Convert to fraction form
    6,532.08/9,847.08 = 6,097.60/x
  3. Step 3: Cross multiply
    6,532.08x = 9,847.08 × 6,097.60
  4. Step 4: Simplify right side
    6,532.08x = 60,043,555.01
  5. Step 5: Solve for x
    x = 60,043,555.01/6,532.08
  6. Step 6: Final answer
    x = 9,192.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.