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Finding the Fourth Proportional to 6,476.64, 9,714.96 and 3,012

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Solution

The fourth proportional to 6,476.64, 9,714.96 and 3,012 is: 4,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.64 : 9,714.96 = 3,012 : x
  2. Step 2: Convert to fraction form
    6,476.64/9,714.96 = 3,012/x
  3. Step 3: Cross multiply
    6,476.64x = 9,714.96 × 3,012
  4. Step 4: Simplify right side
    6,476.64x = 29,261,459.52
  5. Step 5: Solve for x
    x = 29,261,459.52/6,476.64
  6. Step 6: Final answer
    x = 4,518.00

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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.