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Finding the Fourth Proportional to 14,076, 21,114 and 4,842

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Solution

The fourth proportional to 14,076, 21,114 and 4,842 is: 7,263

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076 : 21,114 = 4,842 : x
  2. Step 2: Convert to fraction form
    14,076/21,114 = 4,842/x
  3. Step 3: Cross multiply
    14,076x = 21,114 × 4,842
  4. Step 4: Simplify right side
    14,076x = 102,233,988
  5. Step 5: Solve for x
    x = 102,233,988/14,076
  6. Step 6: Final answer
    x = 7,263

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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.