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Finding the Fourth Proportional to 4,897.98, 7,311.06 and 4,209.06

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Solution

The fourth proportional to 4,897.98, 7,311.06 and 4,209.06 is: 6,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.98 : 7,311.06 = 4,209.06 : x
  2. Step 2: Convert to fraction form
    4,897.98/7,311.06 = 4,209.06/x
  3. Step 3: Cross multiply
    4,897.98x = 7,311.06 × 4,209.06
  4. Step 4: Simplify right side
    4,897.98x = 30,772,690.20
  5. Step 5: Solve for x
    x = 30,772,690.20/4,897.98
  6. Step 6: Final answer
    x = 6,282.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.