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Finding the Fourth Proportional to 13,047.63, 19,574.68 and 3,813.63

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Solution

The fourth proportional to 13,047.63, 19,574.68 and 3,813.63 is: 5,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.63 : 19,574.68 = 3,813.63 : x
  2. Step 2: Convert to fraction form
    13,047.63/19,574.68 = 3,813.63/x
  3. Step 3: Cross multiply
    13,047.63x = 19,574.68 × 3,813.63
  4. Step 4: Simplify right side
    13,047.63x = 74,650,586.89
  5. Step 5: Solve for x
    x = 74,650,586.89/13,047.63
  6. Step 6: Final answer
    x = 5,721.39

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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.