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Finding the Fourth Proportional to 9,821.68, 14,733 and 4,828.60

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Solution

The fourth proportional to 9,821.68, 14,733 and 4,828.60 is: 7,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.68 : 14,733 = 4,828.60 : x
  2. Step 2: Convert to fraction form
    9,821.68/14,733 = 4,828.60/x
  3. Step 3: Cross multiply
    9,821.68x = 14,733 × 4,828.60
  4. Step 4: Simplify right side
    9,821.68x = 71,139,763.80
  5. Step 5: Solve for x
    x = 71,139,763.80/9,821.68
  6. Step 6: Final answer
    x = 7,243.14

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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.