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Finding the Fourth Proportional to 13,773.91, 19,006.44 and 7,804.30

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Solution

The fourth proportional to 13,773.91, 19,006.44 and 7,804.30 is: 10,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.91 : 19,006.44 = 7,804.30 : x
  2. Step 2: Convert to fraction form
    13,773.91/19,006.44 = 7,804.30/x
  3. Step 3: Cross multiply
    13,773.91x = 19,006.44 × 7,804.30
  4. Step 4: Simplify right side
    13,773.91x = 148,331,959.69
  5. Step 5: Solve for x
    x = 148,331,959.69/13,773.91
  6. Step 6: Final answer
    x = 10,769.05

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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.