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Finding the Fourth Proportional to 10,594.50, 15,884.73 and 5,048.70

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Solution

The fourth proportional to 10,594.50, 15,884.73 and 5,048.70 is: 7,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.50 : 15,884.73 = 5,048.70 : x
  2. Step 2: Convert to fraction form
    10,594.50/15,884.73 = 5,048.70/x
  3. Step 3: Cross multiply
    10,594.50x = 15,884.73 × 5,048.70
  4. Step 4: Simplify right side
    10,594.50x = 80,197,236.35
  5. Step 5: Solve for x
    x = 80,197,236.35/10,594.50
  6. Step 6: Final answer
    x = 7,569.70

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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.