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Finding the Fourth Proportional to 3,313.26, 4,969.77 and 848.10

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Solution

The fourth proportional to 3,313.26, 4,969.77 and 848.10 is: 1,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.26 : 4,969.77 = 848.10 : x
  2. Step 2: Convert to fraction form
    3,313.26/4,969.77 = 848.10/x
  3. Step 3: Cross multiply
    3,313.26x = 4,969.77 × 848.10
  4. Step 4: Simplify right side
    3,313.26x = 4,214,854.21
  5. Step 5: Solve for x
    x = 4,214,854.21/3,313.26
  6. Step 6: Final answer
    x = 1,272.12

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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.