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Finding the Fourth Proportional to 9,544.98, 14,302.08 and 5,164.50

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Solution

The fourth proportional to 9,544.98, 14,302.08 and 5,164.50 is: 7,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.98 : 14,302.08 = 5,164.50 : x
  2. Step 2: Convert to fraction form
    9,544.98/14,302.08 = 5,164.50/x
  3. Step 3: Cross multiply
    9,544.98x = 14,302.08 × 5,164.50
  4. Step 4: Simplify right side
    9,544.98x = 73,863,092.16
  5. Step 5: Solve for x
    x = 73,863,092.16/9,544.98
  6. Step 6: Final answer
    x = 7,738.42

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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.