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Finding the Fourth Proportional to 5,896.64, 8,844.96 and 1,514.20

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Solution

The fourth proportional to 5,896.64, 8,844.96 and 1,514.20 is: 2,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.64 : 8,844.96 = 1,514.20 : x
  2. Step 2: Convert to fraction form
    5,896.64/8,844.96 = 1,514.20/x
  3. Step 3: Cross multiply
    5,896.64x = 8,844.96 × 1,514.20
  4. Step 4: Simplify right side
    5,896.64x = 13,393,038.43
  5. Step 5: Solve for x
    x = 13,393,038.43/5,896.64
  6. Step 6: Final answer
    x = 2,271.30

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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.