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Finding the Fourth Proportional to 25,775.62, 38,638.82 and 10,964.16

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Solution

The fourth proportional to 25,775.62, 38,638.82 and 10,964.16 is: 16,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,775.62 : 38,638.82 = 10,964.16 : x
  2. Step 2: Convert to fraction form
    25,775.62/38,638.82 = 10,964.16/x
  3. Step 3: Cross multiply
    25,775.62x = 38,638.82 × 10,964.16
  4. Step 4: Simplify right side
    25,775.62x = 423,642,232.10
  5. Step 5: Solve for x
    x = 423,642,232.10/25,775.62
  6. Step 6: Final answer
    x = 16,435.77

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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.