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Finding the Fourth Proportional to 12,708.63, 17,537.91 and 7,740.63

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Solution

The fourth proportional to 12,708.63, 17,537.91 and 7,740.63 is: 10,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.63 : 17,537.91 = 7,740.63 : x
  2. Step 2: Convert to fraction form
    12,708.63/17,537.91 = 7,740.63/x
  3. Step 3: Cross multiply
    12,708.63x = 17,537.91 × 7,740.63
  4. Step 4: Simplify right side
    12,708.63x = 135,754,472.28
  5. Step 5: Solve for x
    x = 135,754,472.28/12,708.63
  6. Step 6: Final answer
    x = 10,682.07

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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.