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Finding the Fourth Proportional to 14,238, 21,357 and 5,004

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Solution

The fourth proportional to 14,238, 21,357 and 5,004 is: 7,506

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238 : 21,357 = 5,004 : x
  2. Step 2: Convert to fraction form
    14,238/21,357 = 5,004/x
  3. Step 3: Cross multiply
    14,238x = 21,357 × 5,004
  4. Step 4: Simplify right side
    14,238x = 106,870,428
  5. Step 5: Solve for x
    x = 106,870,428/14,238
  6. Step 6: Final answer
    x = 7,506

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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.