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Finding the Fourth Proportional to 9,804.54, 14,706.27 and 9,226.65

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Solution

The fourth proportional to 9,804.54, 14,706.27 and 9,226.65 is: 13,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.54 : 14,706.27 = 9,226.65 : x
  2. Step 2: Convert to fraction form
    9,804.54/14,706.27 = 9,226.65/x
  3. Step 3: Cross multiply
    9,804.54x = 14,706.27 × 9,226.65
  4. Step 4: Simplify right side
    9,804.54x = 135,689,606.10
  5. Step 5: Solve for x
    x = 135,689,606.10/9,804.54
  6. Step 6: Final answer
    x = 13,839.47

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Double scale
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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.