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Finding the Fourth Proportional to 7,670.10, 10,591.38 and 7,276.44

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Solution

The fourth proportional to 7,670.10, 10,591.38 and 7,276.44 is: 10,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.10 : 10,591.38 = 7,276.44 : x
  2. Step 2: Convert to fraction form
    7,670.10/10,591.38 = 7,276.44/x
  3. Step 3: Cross multiply
    7,670.10x = 10,591.38 × 7,276.44
  4. Step 4: Simplify right side
    7,670.10x = 77,067,541.09
  5. Step 5: Solve for x
    x = 77,067,541.09/7,670.10
  6. Step 6: Final answer
    x = 10,047.79

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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.