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Finding the Fourth Proportional to 10,813.74, 14,923.06 and 6,337.62

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Solution

The fourth proportional to 10,813.74, 14,923.06 and 6,337.62 is: 8,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.74 : 14,923.06 = 6,337.62 : x
  2. Step 2: Convert to fraction form
    10,813.74/14,923.06 = 6,337.62/x
  3. Step 3: Cross multiply
    10,813.74x = 14,923.06 × 6,337.62
  4. Step 4: Simplify right side
    10,813.74x = 94,576,683.52
  5. Step 5: Solve for x
    x = 94,576,683.52/10,813.74
  6. Step 6: Final answer
    x = 8,745.97

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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.