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Finding the Fourth Proportional to 14,232.86, 19,641.84 and 7,946.42

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Solution

The fourth proportional to 14,232.86, 19,641.84 and 7,946.42 is: 10,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.86 : 19,641.84 = 7,946.42 : x
  2. Step 2: Convert to fraction form
    14,232.86/19,641.84 = 7,946.42/x
  3. Step 3: Cross multiply
    14,232.86x = 19,641.84 × 7,946.42
  4. Step 4: Simplify right side
    14,232.86x = 156,082,310.21
  5. Step 5: Solve for x
    x = 156,082,310.21/14,232.86
  6. Step 6: Final answer
    x = 10,966.33

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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.