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Finding the Fourth Proportional to 30,766.98, 46,157.46 and 9,706.89

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Solution

The fourth proportional to 30,766.98, 46,157.46 and 9,706.89 is: 14,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.98 : 46,157.46 = 9,706.89 : x
  2. Step 2: Convert to fraction form
    30,766.98/46,157.46 = 9,706.89/x
  3. Step 3: Cross multiply
    30,766.98x = 46,157.46 × 9,706.89
  4. Step 4: Simplify right side
    30,766.98x = 448,045,386.90
  5. Step 5: Solve for x
    x = 448,045,386.90/30,766.98
  6. Step 6: Final answer
    x = 14,562.54

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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.