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Finding the Fourth Proportional to 12,733.22, 17,572.96 and 7,429.74

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Solution

The fourth proportional to 12,733.22, 17,572.96 and 7,429.74 is: 10,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.22 : 17,572.96 = 7,429.74 : x
  2. Step 2: Convert to fraction form
    12,733.22/17,572.96 = 7,429.74/x
  3. Step 3: Cross multiply
    12,733.22x = 17,572.96 × 7,429.74
  4. Step 4: Simplify right side
    12,733.22x = 130,562,530.61
  5. Step 5: Solve for x
    x = 130,562,530.61/12,733.22
  6. Step 6: Final answer
    x = 10,253.70

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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.