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Finding the Fourth Proportional to 7,604.38, 10,522.80 and 6,483.54

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Solution

The fourth proportional to 7,604.38, 10,522.80 and 6,483.54 is: 8,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.38 : 10,522.80 = 6,483.54 : x
  2. Step 2: Convert to fraction form
    7,604.38/10,522.80 = 6,483.54/x
  3. Step 3: Cross multiply
    7,604.38x = 10,522.80 × 6,483.54
  4. Step 4: Simplify right side
    7,604.38x = 68,224,994.71
  5. Step 5: Solve for x
    x = 68,224,994.71/7,604.38
  6. Step 6: Final answer
    x = 8,971.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.