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Finding the Fourth Proportional to 8,071.63, 12,060.71 and 6,187.21

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Solution

The fourth proportional to 8,071.63, 12,060.71 and 6,187.21 is: 9,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.63 : 12,060.71 = 6,187.21 : x
  2. Step 2: Convert to fraction form
    8,071.63/12,060.71 = 6,187.21/x
  3. Step 3: Cross multiply
    8,071.63x = 12,060.71 × 6,187.21
  4. Step 4: Simplify right side
    8,071.63x = 74,622,145.52
  5. Step 5: Solve for x
    x = 74,622,145.52/8,071.63
  6. Step 6: Final answer
    x = 9,244.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.