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Finding the Fourth Proportional to 7,687.74, 10,607.88 and 4,330.38

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Solution

The fourth proportional to 7,687.74, 10,607.88 and 4,330.38 is: 5,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.74 : 10,607.88 = 4,330.38 : x
  2. Step 2: Convert to fraction form
    7,687.74/10,607.88 = 4,330.38/x
  3. Step 3: Cross multiply
    7,687.74x = 10,607.88 × 4,330.38
  4. Step 4: Simplify right side
    7,687.74x = 45,936,151.39
  5. Step 5: Solve for x
    x = 45,936,151.39/7,687.74
  6. Step 6: Final answer
    x = 5,975.25

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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.