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Finding the Fourth Proportional to 4,894.37, 7,342.11 and 1,775.83

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Solution

The fourth proportional to 4,894.37, 7,342.11 and 1,775.83 is: 2,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.37 : 7,342.11 = 1,775.83 : x
  2. Step 2: Convert to fraction form
    4,894.37/7,342.11 = 1,775.83/x
  3. Step 3: Cross multiply
    4,894.37x = 7,342.11 × 1,775.83
  4. Step 4: Simplify right side
    4,894.37x = 13,038,339.20
  5. Step 5: Solve for x
    x = 13,038,339.20/4,894.37
  6. Step 6: Final answer
    x = 2,663.95

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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.