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Finding the Fourth Proportional to 13,796.54, 19,039.23 and 7,508.90

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Solution

The fourth proportional to 13,796.54, 19,039.23 and 7,508.90 is: 10,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.54 : 19,039.23 = 7,508.90 : x
  2. Step 2: Convert to fraction form
    13,796.54/19,039.23 = 7,508.90/x
  3. Step 3: Cross multiply
    13,796.54x = 19,039.23 × 7,508.90
  4. Step 4: Simplify right side
    13,796.54x = 142,963,674.15
  5. Step 5: Solve for x
    x = 142,963,674.15/13,796.54
  6. Step 6: Final answer
    x = 10,362.28

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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.