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Finding the Fourth Proportional to 13,803.88, 19,048.76 and 7,835.44

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Solution

The fourth proportional to 13,803.88, 19,048.76 and 7,835.44 is: 10,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.88 : 19,048.76 = 7,835.44 : x
  2. Step 2: Convert to fraction form
    13,803.88/19,048.76 = 7,835.44/x
  3. Step 3: Cross multiply
    13,803.88x = 19,048.76 × 7,835.44
  4. Step 4: Simplify right side
    13,803.88x = 149,255,416.05
  5. Step 5: Solve for x
    x = 149,255,416.05/13,803.88
  6. Step 6: Final answer
    x = 10,812.57

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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.