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Finding the Fourth Proportional to 14,284, 21,426 and 6,076

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Solution

The fourth proportional to 14,284, 21,426 and 6,076 is: 9,114

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284 : 21,426 = 6,076 : x
  2. Step 2: Convert to fraction form
    14,284/21,426 = 6,076/x
  3. Step 3: Cross multiply
    14,284x = 21,426 × 6,076
  4. Step 4: Simplify right side
    14,284x = 130,184,376
  5. Step 5: Solve for x
    x = 130,184,376/14,284
  6. Step 6: Final answer
    x = 9,114

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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.