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Finding the Fourth Proportional to 13,048.71, 19,583.44 and 4,731.11

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Solution

The fourth proportional to 13,048.71, 19,583.44 and 4,731.11 is: 7,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.71 : 19,583.44 = 4,731.11 : x
  2. Step 2: Convert to fraction form
    13,048.71/19,583.44 = 4,731.11/x
  3. Step 3: Cross multiply
    13,048.71x = 19,583.44 × 4,731.11
  4. Step 4: Simplify right side
    13,048.71x = 92,651,316.82
  5. Step 5: Solve for x
    x = 92,651,316.82/13,048.71
  6. Step 6: Final answer
    x = 7,100.42

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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.