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Finding the Fourth Proportional to 15,914.34, 23,858.15 and 7,028.24

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Solution

The fourth proportional to 15,914.34, 23,858.15 and 7,028.24 is: 10,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.34 : 23,858.15 = 7,028.24 : x
  2. Step 2: Convert to fraction form
    15,914.34/23,858.15 = 7,028.24/x
  3. Step 3: Cross multiply
    15,914.34x = 23,858.15 × 7,028.24
  4. Step 4: Simplify right side
    15,914.34x = 167,680,649.72
  5. Step 5: Solve for x
    x = 167,680,649.72/15,914.34
  6. Step 6: Final answer
    x = 10,536.45

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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.