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Finding the Fourth Proportional to 4,706.73, 7,054.74 and 2,238.06

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Solution

The fourth proportional to 4,706.73, 7,054.74 and 2,238.06 is: 3,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.73 : 7,054.74 = 2,238.06 : x
  2. Step 2: Convert to fraction form
    4,706.73/7,054.74 = 2,238.06/x
  3. Step 3: Cross multiply
    4,706.73x = 7,054.74 × 2,238.06
  4. Step 4: Simplify right side
    4,706.73x = 15,788,931.40
  5. Step 5: Solve for x
    x = 15,788,931.40/4,706.73
  6. Step 6: Final answer
    x = 3,354.54

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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.