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Finding the Fourth Proportional to 9,720, 14,582.16 and 3,564

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Solution

The fourth proportional to 9,720, 14,582.16 and 3,564 is: 5,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 14,582.16 = 3,564 : x
  2. Step 2: Convert to fraction form
    9,720/14,582.16 = 3,564/x
  3. Step 3: Cross multiply
    9,720x = 14,582.16 × 3,564
  4. Step 4: Simplify right side
    9,720x = 51,970,818.24
  5. Step 5: Solve for x
    x = 51,970,818.24/9,720
  6. Step 6: Final answer
    x = 5,346.79

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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.