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Finding the Fourth Proportional to 7,080.08, 9,770.60 and 4,096.16

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Solution

The fourth proportional to 7,080.08, 9,770.60 and 4,096.16 is: 5,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080.08 : 9,770.60 = 4,096.16 : x
  2. Step 2: Convert to fraction form
    7,080.08/9,770.60 = 4,096.16/x
  3. Step 3: Cross multiply
    7,080.08x = 9,770.60 × 4,096.16
  4. Step 4: Simplify right side
    7,080.08x = 40,021,940.90
  5. Step 5: Solve for x
    x = 40,021,940.90/7,080.08
  6. Step 6: Final answer
    x = 5,652.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.