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Finding the Fourth Proportional to 17,094.76, 25,642.14 and 4,782.76

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Solution

The fourth proportional to 17,094.76, 25,642.14 and 4,782.76 is: 7,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,094.76 : 25,642.14 = 4,782.76 : x
  2. Step 2: Convert to fraction form
    17,094.76/25,642.14 = 4,782.76/x
  3. Step 3: Cross multiply
    17,094.76x = 25,642.14 × 4,782.76
  4. Step 4: Simplify right side
    17,094.76x = 122,640,201.51
  5. Step 5: Solve for x
    x = 122,640,201.51/17,094.76
  6. Step 6: Final answer
    x = 7,174.14

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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.