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Finding the Fourth Proportional to 4,714.88, 7,068.48 and 4,097.12

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Solution

The fourth proportional to 4,714.88, 7,068.48 and 4,097.12 is: 6,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.88 : 7,068.48 = 4,097.12 : x
  2. Step 2: Convert to fraction form
    4,714.88/7,068.48 = 4,097.12/x
  3. Step 3: Cross multiply
    4,714.88x = 7,068.48 × 4,097.12
  4. Step 4: Simplify right side
    4,714.88x = 28,960,410.78
  5. Step 5: Solve for x
    x = 28,960,410.78/4,714.88
  6. Step 6: Final answer
    x = 6,142.34

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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.