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Finding the Fourth Proportional to 4,953.87, 7,430.73 and 1,205.68

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Solution

The fourth proportional to 4,953.87, 7,430.73 and 1,205.68 is: 1,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.87 : 7,430.73 = 1,205.68 : x
  2. Step 2: Convert to fraction form
    4,953.87/7,430.73 = 1,205.68/x
  3. Step 3: Cross multiply
    4,953.87x = 7,430.73 × 1,205.68
  4. Step 4: Simplify right side
    4,953.87x = 8,959,063.97
  5. Step 5: Solve for x
    x = 8,959,063.97/4,953.87
  6. Step 6: Final answer
    x = 1,808.50

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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.