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Finding the Fourth Proportional to 9,130.25, 13,696.25 and 2,556.42

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Solution

The fourth proportional to 9,130.25, 13,696.25 and 2,556.42 is: 3,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.25 : 13,696.25 = 2,556.42 : x
  2. Step 2: Convert to fraction form
    9,130.25/13,696.25 = 2,556.42/x
  3. Step 3: Cross multiply
    9,130.25x = 13,696.25 × 2,556.42
  4. Step 4: Simplify right side
    9,130.25x = 35,013,354.64
  5. Step 5: Solve for x
    x = 35,013,354.64/9,130.25
  6. Step 6: Final answer
    x = 3,834.88

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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.