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Finding the Fourth Proportional to 8,125.13, 12,187.69 and 1,969.13

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Solution

The fourth proportional to 8,125.13, 12,187.69 and 1,969.13 is: 2,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.13 : 12,187.69 = 1,969.13 : x
  2. Step 2: Convert to fraction form
    8,125.13/12,187.69 = 1,969.13/x
  3. Step 3: Cross multiply
    8,125.13x = 12,187.69 × 1,969.13
  4. Step 4: Simplify right side
    8,125.13x = 23,999,080.15
  5. Step 5: Solve for x
    x = 23,999,080.15/8,125.13
  6. Step 6: Final answer
    x = 2,953.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.