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Finding the Fourth Proportional to 12,952.83, 17,874.21 and 7,645.71

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Solution

The fourth proportional to 12,952.83, 17,874.21 and 7,645.71 is: 10,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.83 : 17,874.21 = 7,645.71 : x
  2. Step 2: Convert to fraction form
    12,952.83/17,874.21 = 7,645.71/x
  3. Step 3: Cross multiply
    12,952.83x = 17,874.21 × 7,645.71
  4. Step 4: Simplify right side
    12,952.83x = 136,661,026.14
  5. Step 5: Solve for x
    x = 136,661,026.14/12,952.83
  6. Step 6: Final answer
    x = 10,550.67

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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.