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Finding the Fourth Proportional to 12,644.34, 17,448.15 and 7,265.07

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Solution

The fourth proportional to 12,644.34, 17,448.15 and 7,265.07 is: 10,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.34 : 17,448.15 = 7,265.07 : x
  2. Step 2: Convert to fraction form
    12,644.34/17,448.15 = 7,265.07/x
  3. Step 3: Cross multiply
    12,644.34x = 17,448.15 × 7,265.07
  4. Step 4: Simplify right side
    12,644.34x = 126,762,031.12
  5. Step 5: Solve for x
    x = 126,762,031.12/12,644.34
  6. Step 6: Final answer
    x = 10,025.20

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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.