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Finding the Fourth Proportional to 9,724, 14,586 and 2,428

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Solution

The fourth proportional to 9,724, 14,586 and 2,428 is: 3,642

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 14,586 = 2,428 : x
  2. Step 2: Convert to fraction form
    9,724/14,586 = 2,428/x
  3. Step 3: Cross multiply
    9,724x = 14,586 × 2,428
  4. Step 4: Simplify right side
    9,724x = 35,414,808
  5. Step 5: Solve for x
    x = 35,414,808/9,724
  6. Step 6: Final answer
    x = 3,642

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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.