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Finding the Fourth Proportional to 14,408.64, 21,616.74 and 6,084

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Solution

The fourth proportional to 14,408.64, 21,616.74 and 6,084 is: 9,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.64 : 21,616.74 = 6,084 : x
  2. Step 2: Convert to fraction form
    14,408.64/21,616.74 = 6,084/x
  3. Step 3: Cross multiply
    14,408.64x = 21,616.74 × 6,084
  4. Step 4: Simplify right side
    14,408.64x = 131,516,246.16
  5. Step 5: Solve for x
    x = 131,516,246.16/14,408.64
  6. Step 6: Final answer
    x = 9,127.60

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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.