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Finding the Fourth Proportional to 9,581.58, 14,367.50 and 4,383

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Solution

The fourth proportional to 9,581.58, 14,367.50 and 4,383 is: 6,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.58 : 14,367.50 = 4,383 : x
  2. Step 2: Convert to fraction form
    9,581.58/14,367.50 = 4,383/x
  3. Step 3: Cross multiply
    9,581.58x = 14,367.50 × 4,383
  4. Step 4: Simplify right side
    9,581.58x = 62,972,752.50
  5. Step 5: Solve for x
    x = 62,972,752.50/9,581.58
  6. Step 6: Final answer
    x = 6,572.27

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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.