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Finding the Fourth Proportional to 9,949.03, 13,729.96 and 5,701.44

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Solution

The fourth proportional to 9,949.03, 13,729.96 and 5,701.44 is: 7,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.03 : 13,729.96 = 5,701.44 : x
  2. Step 2: Convert to fraction form
    9,949.03/13,729.96 = 5,701.44/x
  3. Step 3: Cross multiply
    9,949.03x = 13,729.96 × 5,701.44
  4. Step 4: Simplify right side
    9,949.03x = 78,280,492.45
  5. Step 5: Solve for x
    x = 78,280,492.45/9,949.03
  6. Step 6: Final answer
    x = 7,868.16

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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.