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Finding the Fourth Proportional to 12,975.71, 17,906.51 and 7,525.83

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Solution

The fourth proportional to 12,975.71, 17,906.51 and 7,525.83 is: 10,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.71 : 17,906.51 = 7,525.83 : x
  2. Step 2: Convert to fraction form
    12,975.71/17,906.51 = 7,525.83/x
  3. Step 3: Cross multiply
    12,975.71x = 17,906.51 × 7,525.83
  4. Step 4: Simplify right side
    12,975.71x = 134,761,368.97
  5. Step 5: Solve for x
    x = 134,761,368.97/12,975.71
  6. Step 6: Final answer
    x = 10,385.67

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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.