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Finding the Fourth Proportional to 7,672.28, 10,541.86 and 6,097.64

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Solution

The fourth proportional to 7,672.28, 10,541.86 and 6,097.64 is: 8,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.28 : 10,541.86 = 6,097.64 : x
  2. Step 2: Convert to fraction form
    7,672.28/10,541.86 = 6,097.64/x
  3. Step 3: Cross multiply
    7,672.28x = 10,541.86 × 6,097.64
  4. Step 4: Simplify right side
    7,672.28x = 64,280,440.86
  5. Step 5: Solve for x
    x = 64,280,440.86/7,672.28
  6. Step 6: Final answer
    x = 8,378.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.