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Finding the Fourth Proportional to 9,579.58, 14,364.50 and 4,381

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Solution

The fourth proportional to 9,579.58, 14,364.50 and 4,381 is: 6,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.58 : 14,364.50 = 4,381 : x
  2. Step 2: Convert to fraction form
    9,579.58/14,364.50 = 4,381/x
  3. Step 3: Cross multiply
    9,579.58x = 14,364.50 × 4,381
  4. Step 4: Simplify right side
    9,579.58x = 62,930,874.50
  5. Step 5: Solve for x
    x = 62,930,874.50/9,579.58
  6. Step 6: Final answer
    x = 6,569.27

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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.