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Finding the Fourth Proportional to 9,804.54, 14,706.78 and 4,257.16

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Solution

The fourth proportional to 9,804.54, 14,706.78 and 4,257.16 is: 6,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.54 : 14,706.78 = 4,257.16 : x
  2. Step 2: Convert to fraction form
    9,804.54/14,706.78 = 4,257.16/x
  3. Step 3: Cross multiply
    9,804.54x = 14,706.78 × 4,257.16
  4. Step 4: Simplify right side
    9,804.54x = 62,609,115.54
  5. Step 5: Solve for x
    x = 62,609,115.54/9,804.54
  6. Step 6: Final answer
    x = 6,385.73

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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.