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Finding the Fourth Proportional to 13,702.77, 20,554.17 and 3,314.53

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Solution

The fourth proportional to 13,702.77, 20,554.17 and 3,314.53 is: 4,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.77 : 20,554.17 = 3,314.53 : x
  2. Step 2: Convert to fraction form
    13,702.77/20,554.17 = 3,314.53/x
  3. Step 3: Cross multiply
    13,702.77x = 20,554.17 × 3,314.53
  4. Step 4: Simplify right side
    13,702.77x = 68,127,396.52
  5. Step 5: Solve for x
    x = 68,127,396.52/13,702.77
  6. Step 6: Final answer
    x = 4,971.80

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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.