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Finding the Fourth Proportional to 10,733.72, 14,813.04 and 6,702.94

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Solution

The fourth proportional to 10,733.72, 14,813.04 and 6,702.94 is: 9,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.72 : 14,813.04 = 6,702.94 : x
  2. Step 2: Convert to fraction form
    10,733.72/14,813.04 = 6,702.94/x
  3. Step 3: Cross multiply
    10,733.72x = 14,813.04 × 6,702.94
  4. Step 4: Simplify right side
    10,733.72x = 99,290,844.27
  5. Step 5: Solve for x
    x = 99,290,844.27/10,733.72
  6. Step 6: Final answer
    x = 9,250.37

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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.