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Finding the Fourth Proportional to 25,294.34, 37,947.15 and 7,765.94

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Solution

The fourth proportional to 25,294.34, 37,947.15 and 7,765.94 is: 11,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.34 : 37,947.15 = 7,765.94 : x
  2. Step 2: Convert to fraction form
    25,294.34/37,947.15 = 7,765.94/x
  3. Step 3: Cross multiply
    25,294.34x = 37,947.15 × 7,765.94
  4. Step 4: Simplify right side
    25,294.34x = 294,695,290.07
  5. Step 5: Solve for x
    x = 294,695,290.07/25,294.34
  6. Step 6: Final answer
    x = 11,650.64

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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.