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Finding the Fourth Proportional to 35,818.96, 53,738.16 and 12,446.68

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Solution

The fourth proportional to 35,818.96, 53,738.16 and 12,446.68 is: 18,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,818.96 : 53,738.16 = 12,446.68 : x
  2. Step 2: Convert to fraction form
    35,818.96/53,738.16 = 12,446.68/x
  3. Step 3: Cross multiply
    35,818.96x = 53,738.16 × 12,446.68
  4. Step 4: Simplify right side
    35,818.96x = 668,861,681.31
  5. Step 5: Solve for x
    x = 668,861,681.31/35,818.96
  6. Step 6: Final answer
    x = 18,673.40

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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.