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Finding the Fourth Proportional to 12,416.40, 18,608.76 and 5,828.04

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Solution

The fourth proportional to 12,416.40, 18,608.76 and 5,828.04 is: 8,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.40 : 18,608.76 = 5,828.04 : x
  2. Step 2: Convert to fraction form
    12,416.40/18,608.76 = 5,828.04/x
  3. Step 3: Cross multiply
    12,416.40x = 18,608.76 × 5,828.04
  4. Step 4: Simplify right side
    12,416.40x = 108,452,597.63
  5. Step 5: Solve for x
    x = 108,452,597.63/12,416.40
  6. Step 6: Final answer
    x = 8,734.62

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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.