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Finding the Fourth Proportional to 3,313.54, 4,970.19 and 848.38

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Solution

The fourth proportional to 3,313.54, 4,970.19 and 848.38 is: 1,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.54 : 4,970.19 = 848.38 : x
  2. Step 2: Convert to fraction form
    3,313.54/4,970.19 = 848.38/x
  3. Step 3: Cross multiply
    3,313.54x = 4,970.19 × 848.38
  4. Step 4: Simplify right side
    3,313.54x = 4,216,609.87
  5. Step 5: Solve for x
    x = 4,216,609.87/3,313.54
  6. Step 6: Final answer
    x = 1,272.54

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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.