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Finding the Fourth Proportional to 13,797.09, 19,006.20 and 10,009.08

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Solution

The fourth proportional to 13,797.09, 19,006.20 and 10,009.08 is: 13,788.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.09 : 19,006.20 = 10,009.08 : x
  2. Step 2: Convert to fraction form
    13,797.09/19,006.20 = 10,009.08/x
  3. Step 3: Cross multiply
    13,797.09x = 19,006.20 × 10,009.08
  4. Step 4: Simplify right side
    13,797.09x = 190,234,576.30
  5. Step 5: Solve for x
    x = 190,234,576.30/13,797.09
  6. Step 6: Final answer
    x = 13,788.02

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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.