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Finding the Fourth Proportional to 25,199.80, 37,803.77 and 7,665.50

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Solution

The fourth proportional to 25,199.80, 37,803.77 and 7,665.50 is: 11,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,199.80 : 37,803.77 = 7,665.50 : x
  2. Step 2: Convert to fraction form
    25,199.80/37,803.77 = 7,665.50/x
  3. Step 3: Cross multiply
    25,199.80x = 37,803.77 × 7,665.50
  4. Step 4: Simplify right side
    25,199.80x = 289,784,798.94
  5. Step 5: Solve for x
    x = 289,784,798.94/25,199.80
  6. Step 6: Final answer
    x = 11,499.49

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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.