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Finding the Fourth Proportional to 11,653.76, 16,087.72 and 7,464.48

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Solution

The fourth proportional to 11,653.76, 16,087.72 and 7,464.48 is: 10,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.76 : 16,087.72 = 7,464.48 : x
  2. Step 2: Convert to fraction form
    11,653.76/16,087.72 = 7,464.48/x
  3. Step 3: Cross multiply
    11,653.76x = 16,087.72 × 7,464.48
  4. Step 4: Simplify right side
    11,653.76x = 120,086,464.19
  5. Step 5: Solve for x
    x = 120,086,464.19/11,653.76
  6. Step 6: Final answer
    x = 10,304.53

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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.