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Finding the Fourth Proportional to 12,346.63, 18,503.84 and 10,782.92

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Solution

The fourth proportional to 12,346.63, 18,503.84 and 10,782.92 is: 16,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.63 : 18,503.84 = 10,782.92 : x
  2. Step 2: Convert to fraction form
    12,346.63/18,503.84 = 10,782.92/x
  3. Step 3: Cross multiply
    12,346.63x = 18,503.84 × 10,782.92
  4. Step 4: Simplify right side
    12,346.63x = 199,525,499.63
  5. Step 5: Solve for x
    x = 199,525,499.63/12,346.63
  6. Step 6: Final answer
    x = 16,160.32

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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.