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Finding the Fourth Proportional to 25,195.65, 37,792.10 and 7,664.11

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Solution

The fourth proportional to 25,195.65, 37,792.10 and 7,664.11 is: 11,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,195.65 : 37,792.10 = 7,664.11 : x
  2. Step 2: Convert to fraction form
    25,195.65/37,792.10 = 7,664.11/x
  3. Step 3: Cross multiply
    25,195.65x = 37,792.10 × 7,664.11
  4. Step 4: Simplify right side
    25,195.65x = 289,642,736.21
  5. Step 5: Solve for x
    x = 289,642,736.21/25,195.65
  6. Step 6: Final answer
    x = 11,495.74

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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.