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Finding the Fourth Proportional to 13,796.77, 19,039.62 and 7,509.16

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Solution

The fourth proportional to 13,796.77, 19,039.62 and 7,509.16 is: 10,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.77 : 19,039.62 = 7,509.16 : x
  2. Step 2: Convert to fraction form
    13,796.77/19,039.62 = 7,509.16/x
  3. Step 3: Cross multiply
    13,796.77x = 19,039.62 × 7,509.16
  4. Step 4: Simplify right side
    13,796.77x = 142,971,552.92
  5. Step 5: Solve for x
    x = 142,971,552.92/13,796.77
  6. Step 6: Final answer
    x = 10,362.68

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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.