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Finding the Fourth Proportional to 9,038, 13,557 and 2,882

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Solution

The fourth proportional to 9,038, 13,557 and 2,882 is: 4,323

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038 : 13,557 = 2,882 : x
  2. Step 2: Convert to fraction form
    9,038/13,557 = 2,882/x
  3. Step 3: Cross multiply
    9,038x = 13,557 × 2,882
  4. Step 4: Simplify right side
    9,038x = 39,071,274
  5. Step 5: Solve for x
    x = 39,071,274/9,038
  6. Step 6: Final answer
    x = 4,323

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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.