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Finding the Fourth Proportional to 14,616.68, 21,902.71 and 7,598.97

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Solution

The fourth proportional to 14,616.68, 21,902.71 and 7,598.97 is: 11,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.68 : 21,902.71 = 7,598.97 : x
  2. Step 2: Convert to fraction form
    14,616.68/21,902.71 = 7,598.97/x
  3. Step 3: Cross multiply
    14,616.68x = 21,902.71 × 7,598.97
  4. Step 4: Simplify right side
    14,616.68x = 166,438,017.21
  5. Step 5: Solve for x
    x = 166,438,017.21/14,616.68
  6. Step 6: Final answer
    x = 11,386.86

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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.