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Finding the Fourth Proportional to 25,577.92, 38,366.88 and 9,784.56

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Solution

The fourth proportional to 25,577.92, 38,366.88 and 9,784.56 is: 14,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,577.92 : 38,366.88 = 9,784.56 : x
  2. Step 2: Convert to fraction form
    25,577.92/38,366.88 = 9,784.56/x
  3. Step 3: Cross multiply
    25,577.92x = 38,366.88 × 9,784.56
  4. Step 4: Simplify right side
    25,577.92x = 375,403,039.37
  5. Step 5: Solve for x
    x = 375,403,039.37/25,577.92
  6. Step 6: Final answer
    x = 14,676.84

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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.