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Finding the Fourth Proportional to 9,548.82, 14,337.81 and 8,324.10

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Solution

The fourth proportional to 9,548.82, 14,337.81 and 8,324.10 is: 12,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.82 : 14,337.81 = 8,324.10 : x
  2. Step 2: Convert to fraction form
    9,548.82/14,337.81 = 8,324.10/x
  3. Step 3: Cross multiply
    9,548.82x = 14,337.81 × 8,324.10
  4. Step 4: Simplify right side
    9,548.82x = 119,349,364.22
  5. Step 5: Solve for x
    x = 119,349,364.22/9,548.82
  6. Step 6: Final answer
    x = 12,498.86

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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.