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Finding the Fourth Proportional to 12,409.52, 17,125.52 and 7,106.04

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Solution

The fourth proportional to 12,409.52, 17,125.52 and 7,106.04 is: 9,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.52 : 17,125.52 = 7,106.04 : x
  2. Step 2: Convert to fraction form
    12,409.52/17,125.52 = 7,106.04/x
  3. Step 3: Cross multiply
    12,409.52x = 17,125.52 × 7,106.04
  4. Step 4: Simplify right side
    12,409.52x = 121,694,630.14
  5. Step 5: Solve for x
    x = 121,694,630.14/12,409.52
  6. Step 6: Final answer
    x = 9,806.55

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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.