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Finding the Fourth Proportional to 12,409, 17,124.42 and 6,820.36

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Solution

The fourth proportional to 12,409, 17,124.42 and 6,820.36 is: 9,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409 : 17,124.42 = 6,820.36 : x
  2. Step 2: Convert to fraction form
    12,409/17,124.42 = 6,820.36/x
  3. Step 3: Cross multiply
    12,409x = 17,124.42 × 6,820.36
  4. Step 4: Simplify right side
    12,409x = 116,794,709.19
  5. Step 5: Solve for x
    x = 116,794,709.19/12,409
  6. Step 6: Final answer
    x = 9,412.10

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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.