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Finding the Fourth Proportional to 13,775.78, 19,007.26 and 8,738.16

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Solution

The fourth proportional to 13,775.78, 19,007.26 and 8,738.16 is: 12,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.78 : 19,007.26 = 8,738.16 : x
  2. Step 2: Convert to fraction form
    13,775.78/19,007.26 = 8,738.16/x
  3. Step 3: Cross multiply
    13,775.78x = 19,007.26 × 8,738.16
  4. Step 4: Simplify right side
    13,775.78x = 166,088,479.04
  5. Step 5: Solve for x
    x = 166,088,479.04/13,775.78
  6. Step 6: Final answer
    x = 12,056.56

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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.