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Finding the Fourth Proportional to 25,205.80, 37,784.70 and 9,406.60

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Solution

The fourth proportional to 25,205.80, 37,784.70 and 9,406.60 is: 14,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.80 : 37,784.70 = 9,406.60 : x
  2. Step 2: Convert to fraction form
    25,205.80/37,784.70 = 9,406.60/x
  3. Step 3: Cross multiply
    25,205.80x = 37,784.70 × 9,406.60
  4. Step 4: Simplify right side
    25,205.80x = 355,425,559.02
  5. Step 5: Solve for x
    x = 355,425,559.02/25,205.80
  6. Step 6: Final answer
    x = 14,100.94

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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.