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Finding the Fourth Proportional to 12,533.40, 17,296.44 and 6,944.40

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Solution

The fourth proportional to 12,533.40, 17,296.44 and 6,944.40 is: 9,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.40 : 17,296.44 = 6,944.40 : x
  2. Step 2: Convert to fraction form
    12,533.40/17,296.44 = 6,944.40/x
  3. Step 3: Cross multiply
    12,533.40x = 17,296.44 × 6,944.40
  4. Step 4: Simplify right side
    12,533.40x = 120,113,397.94
  5. Step 5: Solve for x
    x = 120,113,397.94/12,533.40
  6. Step 6: Final answer
    x = 9,583.46

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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.