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Finding the Fourth Proportional to 9,706.65, 14,559.98 and 4,156.41

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Solution

The fourth proportional to 9,706.65, 14,559.98 and 4,156.41 is: 6,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.65 : 14,559.98 = 4,156.41 : x
  2. Step 2: Convert to fraction form
    9,706.65/14,559.98 = 4,156.41/x
  3. Step 3: Cross multiply
    9,706.65x = 14,559.98 × 4,156.41
  4. Step 4: Simplify right side
    9,706.65x = 60,517,246.47
  5. Step 5: Solve for x
    x = 60,517,246.47/9,706.65
  6. Step 6: Final answer
    x = 6,234.62

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Similar ratio
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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.