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Finding the Fourth Proportional to 12,525.71, 17,284.86 and 7,424.46

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Solution

The fourth proportional to 12,525.71, 17,284.86 and 7,424.46 is: 10,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,525.71 : 17,284.86 = 7,424.46 : x
  2. Step 2: Convert to fraction form
    12,525.71/17,284.86 = 7,424.46/x
  3. Step 3: Cross multiply
    12,525.71x = 17,284.86 × 7,424.46
  4. Step 4: Simplify right side
    12,525.71x = 128,330,751.68
  5. Step 5: Solve for x
    x = 128,330,751.68/12,525.71
  6. Step 6: Final answer
    x = 10,245.39

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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.