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Finding the Fourth Proportional to 11,410.84, 17,088.30 and 9,424.31

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Solution

The fourth proportional to 11,410.84, 17,088.30 and 9,424.31 is: 14,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.84 : 17,088.30 = 9,424.31 : x
  2. Step 2: Convert to fraction form
    11,410.84/17,088.30 = 9,424.31/x
  3. Step 3: Cross multiply
    11,410.84x = 17,088.30 × 9,424.31
  4. Step 4: Simplify right side
    11,410.84x = 161,045,389.45
  5. Step 5: Solve for x
    x = 161,045,389.45/11,410.84
  6. Step 6: Final answer
    x = 14,113.37

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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.