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Finding the Fourth Proportional to 4,968.96, 6,864.93 and 4,230.78

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Solution

The fourth proportional to 4,968.96, 6,864.93 and 4,230.78 is: 5,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.96 : 6,864.93 = 4,230.78 : x
  2. Step 2: Convert to fraction form
    4,968.96/6,864.93 = 4,230.78/x
  3. Step 3: Cross multiply
    4,968.96x = 6,864.93 × 4,230.78
  4. Step 4: Simplify right side
    4,968.96x = 29,044,008.55
  5. Step 5: Solve for x
    x = 29,044,008.55/4,968.96
  6. Step 6: Final answer
    x = 5,845.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.