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Finding the Fourth Proportional to 9,904.44, 13,664.88 and 5,925

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Solution

The fourth proportional to 9,904.44, 13,664.88 and 5,925 is: 8,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.44 : 13,664.88 = 5,925 : x
  2. Step 2: Convert to fraction form
    9,904.44/13,664.88 = 5,925/x
  3. Step 3: Cross multiply
    9,904.44x = 13,664.88 × 5,925
  4. Step 4: Simplify right side
    9,904.44x = 80,964,414
  5. Step 5: Solve for x
    x = 80,964,414/9,904.44
  6. Step 6: Final answer
    x = 8,174.56

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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.