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Finding the Fourth Proportional to 25,886.16, 38,830.11 and 7,164.63

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Solution

The fourth proportional to 25,886.16, 38,830.11 and 7,164.63 is: 10,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886.16 : 38,830.11 = 7,164.63 : x
  2. Step 2: Convert to fraction form
    25,886.16/38,830.11 = 7,164.63/x
  3. Step 3: Cross multiply
    25,886.16x = 38,830.11 × 7,164.63
  4. Step 4: Simplify right side
    25,886.16x = 278,203,371.01
  5. Step 5: Solve for x
    x = 278,203,371.01/25,886.16
  6. Step 6: Final answer
    x = 10,747.19

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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.