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Finding the Fourth Proportional to 12,616.14, 17,409.03 and 7,312.86

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Solution

The fourth proportional to 12,616.14, 17,409.03 and 7,312.86 is: 10,091.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.14 : 17,409.03 = 7,312.86 : x
  2. Step 2: Convert to fraction form
    12,616.14/17,409.03 = 7,312.86/x
  3. Step 3: Cross multiply
    12,616.14x = 17,409.03 × 7,312.86
  4. Step 4: Simplify right side
    12,616.14x = 127,309,799.13
  5. Step 5: Solve for x
    x = 127,309,799.13/12,616.14
  6. Step 6: Final answer
    x = 10,091.03

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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.