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Finding the Fourth Proportional to 13,035.94, 17,980.44 and 8,002.60

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Solution

The fourth proportional to 13,035.94, 17,980.44 and 8,002.60 is: 11,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.94 : 17,980.44 = 8,002.60 : x
  2. Step 2: Convert to fraction form
    13,035.94/17,980.44 = 8,002.60/x
  3. Step 3: Cross multiply
    13,035.94x = 17,980.44 × 8,002.60
  4. Step 4: Simplify right side
    13,035.94x = 143,890,269.14
  5. Step 5: Solve for x
    x = 143,890,269.14/13,035.94
  6. Step 6: Final answer
    x = 11,037.97

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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.