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Finding the Fourth Proportional to 9,376.70, 12,933.74 and 6,014.18

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Solution

The fourth proportional to 9,376.70, 12,933.74 and 6,014.18 is: 8,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.70 : 12,933.74 = 6,014.18 : x
  2. Step 2: Convert to fraction form
    9,376.70/12,933.74 = 6,014.18/x
  3. Step 3: Cross multiply
    9,376.70x = 12,933.74 × 6,014.18
  4. Step 4: Simplify right side
    9,376.70x = 77,785,842.70
  5. Step 5: Solve for x
    x = 77,785,842.70/9,376.70
  6. Step 6: Final answer
    x = 8,295.66

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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.