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Finding the Fourth Proportional to 4,894.80, 7,342.62 and 1,384.83

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Solution

The fourth proportional to 4,894.80, 7,342.62 and 1,384.83 is: 2,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.80 : 7,342.62 = 1,384.83 : x
  2. Step 2: Convert to fraction form
    4,894.80/7,342.62 = 1,384.83/x
  3. Step 3: Cross multiply
    4,894.80x = 7,342.62 × 1,384.83
  4. Step 4: Simplify right side
    4,894.80x = 10,168,280.45
  5. Step 5: Solve for x
    x = 10,168,280.45/4,894.80
  6. Step 6: Final answer
    x = 2,077.36

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1.5x scale

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.