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Finding the Fourth Proportional to 34,288, 51,432 and 9,664

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Solution

The fourth proportional to 34,288, 51,432 and 9,664 is: 14,496

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,288 : 51,432 = 9,664 : x
  2. Step 2: Convert to fraction form
    34,288/51,432 = 9,664/x
  3. Step 3: Cross multiply
    34,288x = 51,432 × 9,664
  4. Step 4: Simplify right side
    34,288x = 497,038,848
  5. Step 5: Solve for x
    x = 497,038,848/34,288
  6. Step 6: Final answer
    x = 14,496

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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.