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Finding the Fourth Proportional to 13,384.75, 18,471.54 and 7,416.40

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Solution

The fourth proportional to 13,384.75, 18,471.54 and 7,416.40 is: 10,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.75 : 18,471.54 = 7,416.40 : x
  2. Step 2: Convert to fraction form
    13,384.75/18,471.54 = 7,416.40/x
  3. Step 3: Cross multiply
    13,384.75x = 18,471.54 × 7,416.40
  4. Step 4: Simplify right side
    13,384.75x = 136,992,329.26
  5. Step 5: Solve for x
    x = 136,992,329.26/13,384.75
  6. Step 6: Final answer
    x = 10,234.96

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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.