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Finding the Fourth Proportional to 13,996, 19,314.54 and 8,410.24

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Solution

The fourth proportional to 13,996, 19,314.54 and 8,410.24 is: 11,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996 : 19,314.54 = 8,410.24 : x
  2. Step 2: Convert to fraction form
    13,996/19,314.54 = 8,410.24/x
  3. Step 3: Cross multiply
    13,996x = 19,314.54 × 8,410.24
  4. Step 4: Simplify right side
    13,996x = 162,439,916.89
  5. Step 5: Solve for x
    x = 162,439,916.89/13,996
  6. Step 6: Final answer
    x = 11,606.17

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.