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Finding the Fourth Proportional to 13,772.80, 19,006.24 and 7,485.28

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Solution

The fourth proportional to 13,772.80, 19,006.24 and 7,485.28 is: 10,329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.80 : 19,006.24 = 7,485.28 : x
  2. Step 2: Convert to fraction form
    13,772.80/19,006.24 = 7,485.28/x
  3. Step 3: Cross multiply
    13,772.80x = 19,006.24 × 7,485.28
  4. Step 4: Simplify right side
    13,772.80x = 142,267,028.15
  5. Step 5: Solve for x
    x = 142,267,028.15/13,772.80
  6. Step 6: Final answer
    x = 10,329.56

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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.