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Finding the Fourth Proportional to 9,616.42, 14,437.08 and 9,221.54

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Solution

The fourth proportional to 9,616.42, 14,437.08 and 9,221.54 is: 13,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.42 : 14,437.08 = 9,221.54 : x
  2. Step 2: Convert to fraction form
    9,616.42/14,437.08 = 9,221.54/x
  3. Step 3: Cross multiply
    9,616.42x = 14,437.08 × 9,221.54
  4. Step 4: Simplify right side
    9,616.42x = 133,132,110.70
  5. Step 5: Solve for x
    x = 133,132,110.70/9,616.42
  6. Step 6: Final answer
    x = 13,844.25

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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.