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Finding the Fourth Proportional to 14,286, 21,429 and 6,078

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Solution

The fourth proportional to 14,286, 21,429 and 6,078 is: 9,117

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286 : 21,429 = 6,078 : x
  2. Step 2: Convert to fraction form
    14,286/21,429 = 6,078/x
  3. Step 3: Cross multiply
    14,286x = 21,429 × 6,078
  4. Step 4: Simplify right side
    14,286x = 130,245,462
  5. Step 5: Solve for x
    x = 130,245,462/14,286
  6. Step 6: Final answer
    x = 9,117

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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.