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Finding the Fourth Proportional to 9,702.96, 13,379.49 and 6,553.68

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Solution

The fourth proportional to 9,702.96, 13,379.49 and 6,553.68 is: 9,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.96 : 13,379.49 = 6,553.68 : x
  2. Step 2: Convert to fraction form
    9,702.96/13,379.49 = 6,553.68/x
  3. Step 3: Cross multiply
    9,702.96x = 13,379.49 × 6,553.68
  4. Step 4: Simplify right side
    9,702.96x = 87,684,896.02
  5. Step 5: Solve for x
    x = 87,684,896.02/9,702.96
  6. Step 6: Final answer
    x = 9,036.92

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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.