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Finding the Fourth Proportional to 14,453.63, 19,946 and 7,829.63

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Solution

The fourth proportional to 14,453.63, 19,946 and 7,829.63 is: 10,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453.63 : 19,946 = 7,829.63 : x
  2. Step 2: Convert to fraction form
    14,453.63/19,946 = 7,829.63/x
  3. Step 3: Cross multiply
    14,453.63x = 19,946 × 7,829.63
  4. Step 4: Simplify right side
    14,453.63x = 156,169,799.98
  5. Step 5: Solve for x
    x = 156,169,799.98/14,453.63
  6. Step 6: Final answer
    x = 10,804.88

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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.