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Finding the Fourth Proportional to 25,343.82, 38,004.78 and 9,750.50

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Solution

The fourth proportional to 25,343.82, 38,004.78 and 9,750.50 is: 14,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,343.82 : 38,004.78 = 9,750.50 : x
  2. Step 2: Convert to fraction form
    25,343.82/38,004.78 = 9,750.50/x
  3. Step 3: Cross multiply
    25,343.82x = 38,004.78 × 9,750.50
  4. Step 4: Simplify right side
    25,343.82x = 370,565,607.39
  5. Step 5: Solve for x
    x = 370,565,607.39/25,343.82
  6. Step 6: Final answer
    x = 14,621.54

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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.