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Finding the Fourth Proportional to 13,690.77, 18,892.95 and 7,722.54

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Solution

The fourth proportional to 13,690.77, 18,892.95 and 7,722.54 is: 10,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.77 : 18,892.95 = 7,722.54 : x
  2. Step 2: Convert to fraction form
    13,690.77/18,892.95 = 7,722.54/x
  3. Step 3: Cross multiply
    13,690.77x = 18,892.95 × 7,722.54
  4. Step 4: Simplify right side
    13,690.77x = 145,901,533.13
  5. Step 5: Solve for x
    x = 145,901,533.13/13,690.77
  6. Step 6: Final answer
    x = 10,656.93

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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.