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Finding the Fourth Proportional to 25,642.71, 38,462.67 and 6,922.49

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Solution

The fourth proportional to 25,642.71, 38,462.67 and 6,922.49 is: 10,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.71 : 38,462.67 = 6,922.49 : x
  2. Step 2: Convert to fraction form
    25,642.71/38,462.67 = 6,922.49/x
  3. Step 3: Cross multiply
    25,642.71x = 38,462.67 × 6,922.49
  4. Step 4: Simplify right side
    25,642.71x = 266,257,256.13
  5. Step 5: Solve for x
    x = 266,257,256.13/25,642.71
  6. Step 6: Final answer
    x = 10,383.35

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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.