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Finding the Fourth Proportional to 4,728.84, 7,092.48 and 1,766.50

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Solution

The fourth proportional to 4,728.84, 7,092.48 and 1,766.50 is: 2,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.84 : 7,092.48 = 1,766.50 : x
  2. Step 2: Convert to fraction form
    4,728.84/7,092.48 = 1,766.50/x
  3. Step 3: Cross multiply
    4,728.84x = 7,092.48 × 1,766.50
  4. Step 4: Simplify right side
    4,728.84x = 12,528,865.92
  5. Step 5: Solve for x
    x = 12,528,865.92/4,728.84
  6. Step 6: Final answer
    x = 2,649.46

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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.