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Finding the Fourth Proportional to 14,585.78, 20,128.84 and 8,298.56

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Solution

The fourth proportional to 14,585.78, 20,128.84 and 8,298.56 is: 11,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,585.78 : 20,128.84 = 8,298.56 : x
  2. Step 2: Convert to fraction form
    14,585.78/20,128.84 = 8,298.56/x
  3. Step 3: Cross multiply
    14,585.78x = 20,128.84 × 8,298.56
  4. Step 4: Simplify right side
    14,585.78x = 167,040,386.47
  5. Step 5: Solve for x
    x = 167,040,386.47/14,585.78
  6. Step 6: Final answer
    x = 11,452.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.