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Finding the Fourth Proportional to 12,409.34, 17,125.20 and 6,820.34

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Solution

The fourth proportional to 12,409.34, 17,125.20 and 6,820.34 is: 9,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.34 : 17,125.20 = 6,820.34 : x
  2. Step 2: Convert to fraction form
    12,409.34/17,125.20 = 6,820.34/x
  3. Step 3: Cross multiply
    12,409.34x = 17,125.20 × 6,820.34
  4. Step 4: Simplify right side
    12,409.34x = 116,799,686.57
  5. Step 5: Solve for x
    x = 116,799,686.57/12,409.34
  6. Step 6: Final answer
    x = 9,412.24

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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.