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Finding the Fourth Proportional to 9,364.54, 12,916.94 and 6,002.03

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Solution

The fourth proportional to 9,364.54, 12,916.94 and 6,002.03 is: 8,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.54 : 12,916.94 = 6,002.03 : x
  2. Step 2: Convert to fraction form
    9,364.54/12,916.94 = 6,002.03/x
  3. Step 3: Cross multiply
    9,364.54x = 12,916.94 × 6,002.03
  4. Step 4: Simplify right side
    9,364.54x = 77,527,766.79
  5. Step 5: Solve for x
    x = 77,527,766.79/9,364.54
  6. Step 6: Final answer
    x = 8,278.87

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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.