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Finding the Fourth Proportional to 6,002.94, 8,292.06 and 4,828.44

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Solution

The fourth proportional to 6,002.94, 8,292.06 and 4,828.44 is: 6,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.94 : 8,292.06 = 4,828.44 : x
  2. Step 2: Convert to fraction form
    6,002.94/8,292.06 = 4,828.44/x
  3. Step 3: Cross multiply
    6,002.94x = 8,292.06 × 4,828.44
  4. Step 4: Simplify right side
    6,002.94x = 40,037,714.19
  5. Step 5: Solve for x
    x = 40,037,714.19/6,002.94
  6. Step 6: Final answer
    x = 6,669.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.