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Finding the Fourth Proportional to 9,684, 14,526 and 2,388

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Solution

The fourth proportional to 9,684, 14,526 and 2,388 is: 3,582

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 14,526 = 2,388 : x
  2. Step 2: Convert to fraction form
    9,684/14,526 = 2,388/x
  3. Step 3: Cross multiply
    9,684x = 14,526 × 2,388
  4. Step 4: Simplify right side
    9,684x = 34,688,088
  5. Step 5: Solve for x
    x = 34,688,088/9,684
  6. Step 6: Final answer
    x = 3,582

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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.