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Finding the Fourth Proportional to 6,461.64, 8,914.86 and 5,282.28

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Solution

The fourth proportional to 6,461.64, 8,914.86 and 5,282.28 is: 7,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.64 : 8,914.86 = 5,282.28 : x
  2. Step 2: Convert to fraction form
    6,461.64/8,914.86 = 5,282.28/x
  3. Step 3: Cross multiply
    6,461.64x = 8,914.86 × 5,282.28
  4. Step 4: Simplify right side
    6,461.64x = 47,090,786.68
  5. Step 5: Solve for x
    x = 47,090,786.68/6,461.64
  6. Step 6: Final answer
    x = 7,287.75

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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.