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Finding the Fourth Proportional to 25,802.64, 38,704.14 and 7,082.28

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Solution

The fourth proportional to 25,802.64, 38,704.14 and 7,082.28 is: 10,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.64 : 38,704.14 = 7,082.28 : x
  2. Step 2: Convert to fraction form
    25,802.64/38,704.14 = 7,082.28/x
  3. Step 3: Cross multiply
    25,802.64x = 38,704.14 × 7,082.28
  4. Step 4: Simplify right side
    25,802.64x = 274,113,556.64
  5. Step 5: Solve for x
    x = 274,113,556.64/25,802.64
  6. Step 6: Final answer
    x = 10,623.47

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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.