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Finding the Fourth Proportional to 17,702.75, 26,554.13 and 7,314.77

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Solution

The fourth proportional to 17,702.75, 26,554.13 and 7,314.77 is: 10,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.75 : 26,554.13 = 7,314.77 : x
  2. Step 2: Convert to fraction form
    17,702.75/26,554.13 = 7,314.77/x
  3. Step 3: Cross multiply
    17,702.75x = 26,554.13 × 7,314.77
  4. Step 4: Simplify right side
    17,702.75x = 194,237,353.50
  5. Step 5: Solve for x
    x = 194,237,353.50/17,702.75
  6. Step 6: Final answer
    x = 10,972.16

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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.