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Finding the Fourth Proportional to 38,009.25, 57,014.08 and 10,307.25

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Solution

The fourth proportional to 38,009.25, 57,014.08 and 10,307.25 is: 15,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.25 : 57,014.08 = 10,307.25 : x
  2. Step 2: Convert to fraction form
    38,009.25/57,014.08 = 10,307.25/x
  3. Step 3: Cross multiply
    38,009.25x = 57,014.08 × 10,307.25
  4. Step 4: Simplify right side
    38,009.25x = 587,658,350.31
  5. Step 5: Solve for x
    x = 587,658,350.31/38,009.25
  6. Step 6: Final answer
    x = 15,460.93

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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.