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Finding the Fourth Proportional to 25,318.96, 37,983.50 and 7,788.12

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Solution

The fourth proportional to 25,318.96, 37,983.50 and 7,788.12 is: 11,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,318.96 : 37,983.50 = 7,788.12 : x
  2. Step 2: Convert to fraction form
    25,318.96/37,983.50 = 7,788.12/x
  3. Step 3: Cross multiply
    25,318.96x = 37,983.50 × 7,788.12
  4. Step 4: Simplify right side
    25,318.96x = 295,820,056.02
  5. Step 5: Solve for x
    x = 295,820,056.02/25,318.96
  6. Step 6: Final answer
    x = 11,683.74

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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.