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Finding the Fourth Proportional to 12,533.63, 17,296.61 and 6,944.63

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Solution

The fourth proportional to 12,533.63, 17,296.61 and 6,944.63 is: 9,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.63 : 17,296.61 = 6,944.63 : x
  2. Step 2: Convert to fraction form
    12,533.63/17,296.61 = 6,944.63/x
  3. Step 3: Cross multiply
    12,533.63x = 17,296.61 × 6,944.63
  4. Step 4: Simplify right side
    12,533.63x = 120,118,435.50
  5. Step 5: Solve for x
    x = 120,118,435.50/12,533.63
  6. Step 6: Final answer
    x = 9,583.69

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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.