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Finding the Fourth Proportional to 13,803.48, 19,048.92 and 7,835.16

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Solution

The fourth proportional to 13,803.48, 19,048.92 and 7,835.16 is: 10,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.48 : 19,048.92 = 7,835.16 : x
  2. Step 2: Convert to fraction form
    13,803.48/19,048.92 = 7,835.16/x
  3. Step 3: Cross multiply
    13,803.48x = 19,048.92 × 7,835.16
  4. Step 4: Simplify right side
    13,803.48x = 149,251,336.03
  5. Step 5: Solve for x
    x = 149,251,336.03/13,803.48
  6. Step 6: Final answer
    x = 10,812.59

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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.