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Finding the Fourth Proportional to 6,284.76, 9,412.76 and 3,000.16

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Solution

The fourth proportional to 6,284.76, 9,412.76 and 3,000.16 is: 4,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.76 : 9,412.76 = 3,000.16 : x
  2. Step 2: Convert to fraction form
    6,284.76/9,412.76 = 3,000.16/x
  3. Step 3: Cross multiply
    6,284.76x = 9,412.76 × 3,000.16
  4. Step 4: Simplify right side
    6,284.76x = 28,239,786.04
  5. Step 5: Solve for x
    x = 28,239,786.04/6,284.76
  6. Step 6: Final answer
    x = 4,493.38

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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.