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Finding the Fourth Proportional to 6,604, 9,113.93 and 3,809.50

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Solution

The fourth proportional to 6,604, 9,113.93 and 3,809.50 is: 5,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604 : 9,113.93 = 3,809.50 : x
  2. Step 2: Convert to fraction form
    6,604/9,113.93 = 3,809.50/x
  3. Step 3: Cross multiply
    6,604x = 9,113.93 × 3,809.50
  4. Step 4: Simplify right side
    6,604x = 34,719,516.34
  5. Step 5: Solve for x
    x = 34,719,516.34/6,604
  6. Step 6: Final answer
    x = 5,257.35

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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.