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Finding the Fourth Proportional to 6,287.64, 8,682.74 and 4,053.36

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Solution

The fourth proportional to 6,287.64, 8,682.74 and 4,053.36 is: 5,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.64 : 8,682.74 = 4,053.36 : x
  2. Step 2: Convert to fraction form
    6,287.64/8,682.74 = 4,053.36/x
  3. Step 3: Cross multiply
    6,287.64x = 8,682.74 × 4,053.36
  4. Step 4: Simplify right side
    6,287.64x = 35,194,271.01
  5. Step 5: Solve for x
    x = 35,194,271.01/6,287.64
  6. Step 6: Final answer
    x = 5,597.37

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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.