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Finding the Fourth Proportional to 25,194.30, 37,780.98 and 9,400.32

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Solution

The fourth proportional to 25,194.30, 37,780.98 and 9,400.32 is: 14,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,194.30 : 37,780.98 = 9,400.32 : x
  2. Step 2: Convert to fraction form
    25,194.30/37,780.98 = 9,400.32/x
  3. Step 3: Cross multiply
    25,194.30x = 37,780.98 × 9,400.32
  4. Step 4: Simplify right side
    25,194.30x = 355,153,301.91
  5. Step 5: Solve for x
    x = 355,153,301.91/25,194.30
  6. Step 6: Final answer
    x = 14,096.57

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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.