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Finding the Fourth Proportional to 12,904.65, 19,357.11 and 5,504.49

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Solution

The fourth proportional to 12,904.65, 19,357.11 and 5,504.49 is: 8,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.65 : 19,357.11 = 5,504.49 : x
  2. Step 2: Convert to fraction form
    12,904.65/19,357.11 = 5,504.49/x
  3. Step 3: Cross multiply
    12,904.65x = 19,357.11 × 5,504.49
  4. Step 4: Simplify right side
    12,904.65x = 106,551,018.42
  5. Step 5: Solve for x
    x = 106,551,018.42/12,904.65
  6. Step 6: Final answer
    x = 8,256.79

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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.