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Finding the Fourth Proportional to 9,373.86, 12,930.81 and 6,012.94

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Solution

The fourth proportional to 9,373.86, 12,930.81 and 6,012.94 is: 8,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,373.86 : 12,930.81 = 6,012.94 : x
  2. Step 2: Convert to fraction form
    9,373.86/12,930.81 = 6,012.94/x
  3. Step 3: Cross multiply
    9,373.86x = 12,930.81 × 6,012.94
  4. Step 4: Simplify right side
    9,373.86x = 77,752,184.68
  5. Step 5: Solve for x
    x = 77,752,184.68/9,373.86
  6. Step 6: Final answer
    x = 8,294.57

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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.