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Finding the Fourth Proportional to 25,197, 37,784.58 and 7,662.75

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Solution

The fourth proportional to 25,197, 37,784.58 and 7,662.75 is: 11,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197 : 37,784.58 = 7,662.75 : x
  2. Step 2: Convert to fraction form
    25,197/37,784.58 = 7,662.75/x
  3. Step 3: Cross multiply
    25,197x = 37,784.58 × 7,662.75
  4. Step 4: Simplify right side
    25,197x = 289,533,790.40
  5. Step 5: Solve for x
    x = 289,533,790.40/25,197
  6. Step 6: Final answer
    x = 11,490.80

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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.