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Finding the Fourth Proportional to 9,576.76, 14,365.10 and 4,563.92

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Solution

The fourth proportional to 9,576.76, 14,365.10 and 4,563.92 is: 6,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.76 : 14,365.10 = 4,563.92 : x
  2. Step 2: Convert to fraction form
    9,576.76/14,365.10 = 4,563.92/x
  3. Step 3: Cross multiply
    9,576.76x = 14,365.10 × 4,563.92
  4. Step 4: Simplify right side
    9,576.76x = 65,561,167.19
  5. Step 5: Solve for x
    x = 65,561,167.19/9,576.76
  6. Step 6: Final answer
    x = 6,845.86

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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.