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Finding the Fourth Proportional to 9,544, 13,172.16 and 5,820.16

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Solution

The fourth proportional to 9,544, 13,172.16 and 5,820.16 is: 8,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544 : 13,172.16 = 5,820.16 : x
  2. Step 2: Convert to fraction form
    9,544/13,172.16 = 5,820.16/x
  3. Step 3: Cross multiply
    9,544x = 13,172.16 × 5,820.16
  4. Step 4: Simplify right side
    9,544x = 76,664,078.75
  5. Step 5: Solve for x
    x = 76,664,078.75/9,544
  6. Step 6: Final answer
    x = 8,032.70

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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.