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Finding the Fourth Proportional to 9,665.74, 14,505.99 and 6,854.32

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Solution

The fourth proportional to 9,665.74, 14,505.99 and 6,854.32 is: 10,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.74 : 14,505.99 = 6,854.32 : x
  2. Step 2: Convert to fraction form
    9,665.74/14,505.99 = 6,854.32/x
  3. Step 3: Cross multiply
    9,665.74x = 14,505.99 × 6,854.32
  4. Step 4: Simplify right side
    9,665.74x = 99,428,697.38
  5. Step 5: Solve for x
    x = 99,428,697.38/9,665.74
  6. Step 6: Final answer
    x = 10,286.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.