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Finding the Fourth Proportional to 9,828.96, 14,758.32 and 9,414.24

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Solution

The fourth proportional to 9,828.96, 14,758.32 and 9,414.24 is: 14,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.96 : 14,758.32 = 9,414.24 : x
  2. Step 2: Convert to fraction form
    9,828.96/14,758.32 = 9,414.24/x
  3. Step 3: Cross multiply
    9,828.96x = 14,758.32 × 9,414.24
  4. Step 4: Simplify right side
    9,828.96x = 138,938,366.48
  5. Step 5: Solve for x
    x = 138,938,366.48/9,828.96
  6. Step 6: Final answer
    x = 14,135.61

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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.