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Finding the Fourth Proportional to 9,777.44, 14,655.36 and 4,229.84

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Solution

The fourth proportional to 9,777.44, 14,655.36 and 4,229.84 is: 6,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.44 : 14,655.36 = 4,229.84 : x
  2. Step 2: Convert to fraction form
    9,777.44/14,655.36 = 4,229.84/x
  3. Step 3: Cross multiply
    9,777.44x = 14,655.36 × 4,229.84
  4. Step 4: Simplify right side
    9,777.44x = 61,989,827.94
  5. Step 5: Solve for x
    x = 61,989,827.94/9,777.44
  6. Step 6: Final answer
    x = 6,340.09

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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.