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Finding the Fourth Proportional to 13,773.40, 19,007.43 and 7,485.77

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Solution

The fourth proportional to 13,773.40, 19,007.43 and 7,485.77 is: 10,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.40 : 19,007.43 = 7,485.77 : x
  2. Step 2: Convert to fraction form
    13,773.40/19,007.43 = 7,485.77/x
  3. Step 3: Cross multiply
    13,773.40x = 19,007.43 × 7,485.77
  4. Step 4: Simplify right side
    13,773.40x = 142,285,249.27
  5. Step 5: Solve for x
    x = 142,285,249.27/13,773.40
  6. Step 6: Final answer
    x = 10,330.44

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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.