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Finding the Fourth Proportional to 12,707.46, 17,538.39 and 7,405.38

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Solution

The fourth proportional to 12,707.46, 17,538.39 and 7,405.38 is: 10,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.46 : 17,538.39 = 7,405.38 : x
  2. Step 2: Convert to fraction form
    12,707.46/17,538.39 = 7,405.38/x
  3. Step 3: Cross multiply
    12,707.46x = 17,538.39 × 7,405.38
  4. Step 4: Simplify right side
    12,707.46x = 129,878,442.54
  5. Step 5: Solve for x
    x = 129,878,442.54/12,707.46
  6. Step 6: Final answer
    x = 10,220.65

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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.