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Finding the Fourth Proportional to 4,984.12, 7,474.06 and 1,697.46

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Solution

The fourth proportional to 4,984.12, 7,474.06 and 1,697.46 is: 2,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.12 : 7,474.06 = 1,697.46 : x
  2. Step 2: Convert to fraction form
    4,984.12/7,474.06 = 1,697.46/x
  3. Step 3: Cross multiply
    4,984.12x = 7,474.06 × 1,697.46
  4. Step 4: Simplify right side
    4,984.12x = 12,686,917.89
  5. Step 5: Solve for x
    x = 12,686,917.89/4,984.12
  6. Step 6: Final answer
    x = 2,545.47

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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.