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Finding the Fourth Proportional to 6,484.69, 9,714.09 and 4,998.72

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Solution

The fourth proportional to 6,484.69, 9,714.09 and 4,998.72 is: 7,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.69 : 9,714.09 = 4,998.72 : x
  2. Step 2: Convert to fraction form
    6,484.69/9,714.09 = 4,998.72/x
  3. Step 3: Cross multiply
    6,484.69x = 9,714.09 × 4,998.72
  4. Step 4: Simplify right side
    6,484.69x = 48,558,015.96
  5. Step 5: Solve for x
    x = 48,558,015.96/6,484.69
  6. Step 6: Final answer
    x = 7,488.10

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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.