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Finding the Fourth Proportional to 8,048.13, 12,071.16 and 3,114.39

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Solution

The fourth proportional to 8,048.13, 12,071.16 and 3,114.39 is: 4,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.13 : 12,071.16 = 3,114.39 : x
  2. Step 2: Convert to fraction form
    8,048.13/12,071.16 = 3,114.39/x
  3. Step 3: Cross multiply
    8,048.13x = 12,071.16 × 3,114.39
  4. Step 4: Simplify right side
    8,048.13x = 37,594,311.67
  5. Step 5: Solve for x
    x = 37,594,311.67/8,048.13
  6. Step 6: Final answer
    x = 4,671.19

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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.