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Finding the Fourth Proportional to 6,461.51, 8,914.77 and 3,772.13

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Solution

The fourth proportional to 6,461.51, 8,914.77 and 3,772.13 is: 5,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.51 : 8,914.77 = 3,772.13 : x
  2. Step 2: Convert to fraction form
    6,461.51/8,914.77 = 3,772.13/x
  3. Step 3: Cross multiply
    6,461.51x = 8,914.77 × 3,772.13
  4. Step 4: Simplify right side
    6,461.51x = 33,627,626.79
  5. Step 5: Solve for x
    x = 33,627,626.79/6,461.51
  6. Step 6: Final answer
    x = 5,204.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.