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Finding the Fourth Proportional to 11,607.54, 17,411.37 and 4,943.10

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Solution

The fourth proportional to 11,607.54, 17,411.37 and 4,943.10 is: 7,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.54 : 17,411.37 = 4,943.10 : x
  2. Step 2: Convert to fraction form
    11,607.54/17,411.37 = 4,943.10/x
  3. Step 3: Cross multiply
    11,607.54x = 17,411.37 × 4,943.10
  4. Step 4: Simplify right side
    11,607.54x = 86,066,143.05
  5. Step 5: Solve for x
    x = 86,066,143.05/11,607.54
  6. Step 6: Final answer
    x = 7,414.68

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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.