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Finding the Fourth Proportional to 12,482.54, 17,209.48 and 9,614.48

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Solution

The fourth proportional to 12,482.54, 17,209.48 and 9,614.48 is: 13,255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.54 : 17,209.48 = 9,614.48 : x
  2. Step 2: Convert to fraction form
    12,482.54/17,209.48 = 9,614.48/x
  3. Step 3: Cross multiply
    12,482.54x = 17,209.48 × 9,614.48
  4. Step 4: Simplify right side
    12,482.54x = 165,460,153.20
  5. Step 5: Solve for x
    x = 165,460,153.20/12,482.54
  6. Step 6: Final answer
    x = 13,255.33

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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.