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Finding the Fourth Proportional to 12,701.84, 17,533.14 and 10,339.88

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Solution

The fourth proportional to 12,701.84, 17,533.14 and 10,339.88 is: 14,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.84 : 17,533.14 = 10,339.88 : x
  2. Step 2: Convert to fraction form
    12,701.84/17,533.14 = 10,339.88/x
  3. Step 3: Cross multiply
    12,701.84x = 17,533.14 × 10,339.88
  4. Step 4: Simplify right side
    12,701.84x = 181,290,563.62
  5. Step 5: Solve for x
    x = 181,290,563.62/12,701.84
  6. Step 6: Final answer
    x = 14,272.78

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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.