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Finding the Fourth Proportional to 6,202.98, 9,304.47 and 1,523.00

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Solution

The fourth proportional to 6,202.98, 9,304.47 and 1,523.00 is: 2,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.98 : 9,304.47 = 1,523.00 : x
  2. Step 2: Convert to fraction form
    6,202.98/9,304.47 = 1,523.00/x
  3. Step 3: Cross multiply
    6,202.98x = 9,304.47 × 1,523.00
  4. Step 4: Simplify right side
    6,202.98x = 14,170,731.07
  5. Step 5: Solve for x
    x = 14,170,731.07/6,202.98
  6. Step 6: Final answer
    x = 2,284.50

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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.