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Finding the Fourth Proportional to 8,983.46, 13,478 and 4,604

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Solution

The fourth proportional to 8,983.46, 13,478 and 4,604 is: 6,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.46 : 13,478 = 4,604 : x
  2. Step 2: Convert to fraction form
    8,983.46/13,478 = 4,604/x
  3. Step 3: Cross multiply
    8,983.46x = 13,478 × 4,604
  4. Step 4: Simplify right side
    8,983.46x = 62,052,712
  5. Step 5: Solve for x
    x = 62,052,712/8,983.46
  6. Step 6: Final answer
    x = 6,907.44

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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.