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Finding the Fourth Proportional to 12,574.44, 17,354.86 and 7,272.34

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Solution

The fourth proportional to 12,574.44, 17,354.86 and 7,272.34 is: 10,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.44 : 17,354.86 = 7,272.34 : x
  2. Step 2: Convert to fraction form
    12,574.44/17,354.86 = 7,272.34/x
  3. Step 3: Cross multiply
    12,574.44x = 17,354.86 × 7,272.34
  4. Step 4: Simplify right side
    12,574.44x = 126,210,442.57
  5. Step 5: Solve for x
    x = 126,210,442.57/12,574.44
  6. Step 6: Final answer
    x = 10,037.06

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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.