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Finding the Fourth Proportional to 6,514.47, 8,990.24 and 4,274.64

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Solution

The fourth proportional to 6,514.47, 8,990.24 and 4,274.64 is: 5,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.47 : 8,990.24 = 4,274.64 : x
  2. Step 2: Convert to fraction form
    6,514.47/8,990.24 = 4,274.64/x
  3. Step 3: Cross multiply
    6,514.47x = 8,990.24 × 4,274.64
  4. Step 4: Simplify right side
    6,514.47x = 38,430,018.14
  5. Step 5: Solve for x
    x = 38,430,018.14/6,514.47
  6. Step 6: Final answer
    x = 5,899.18

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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.