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Finding the Fourth Proportional to 6,046.25, 9,072.84 and 2,348.00

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Solution

The fourth proportional to 6,046.25, 9,072.84 and 2,348.00 is: 3,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.25 : 9,072.84 = 2,348.00 : x
  2. Step 2: Convert to fraction form
    6,046.25/9,072.84 = 2,348.00/x
  3. Step 3: Cross multiply
    6,046.25x = 9,072.84 × 2,348.00
  4. Step 4: Simplify right side
    6,046.25x = 21,303,070.21
  5. Step 5: Solve for x
    x = 21,303,070.21/6,046.25
  6. Step 6: Final answer
    x = 3,523.35

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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.