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Finding the Fourth Proportional to 25,454.99, 38,187.96 and 7,684.16

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Solution

The fourth proportional to 25,454.99, 38,187.96 and 7,684.16 is: 11,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,454.99 : 38,187.96 = 7,684.16 : x
  2. Step 2: Convert to fraction form
    25,454.99/38,187.96 = 7,684.16/x
  3. Step 3: Cross multiply
    25,454.99x = 38,187.96 × 7,684.16
  4. Step 4: Simplify right side
    25,454.99x = 293,442,394.71
  5. Step 5: Solve for x
    x = 293,442,394.71/25,454.99
  6. Step 6: Final answer
    x = 11,527.89

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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.