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Finding the Fourth Proportional to 25,455.68, 38,189.01 and 7,684.87

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Solution

The fourth proportional to 25,455.68, 38,189.01 and 7,684.87 is: 11,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,455.68 : 38,189.01 = 7,684.87 : x
  2. Step 2: Convert to fraction form
    25,455.68/38,189.01 = 7,684.87/x
  3. Step 3: Cross multiply
    25,455.68x = 38,189.01 × 7,684.87
  4. Step 4: Simplify right side
    25,455.68x = 293,477,577.28
  5. Step 5: Solve for x
    x = 293,477,577.28/25,455.68
  6. Step 6: Final answer
    x = 11,528.96

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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.