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Finding the Fourth Proportional to 13,803.66, 19,048.92 and 7,516.14

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Solution

The fourth proportional to 13,803.66, 19,048.92 and 7,516.14 is: 10,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.66 : 19,048.92 = 7,516.14 : x
  2. Step 2: Convert to fraction form
    13,803.66/19,048.92 = 7,516.14/x
  3. Step 3: Cross multiply
    13,803.66x = 19,048.92 × 7,516.14
  4. Step 4: Simplify right side
    13,803.66x = 143,174,349.57
  5. Step 5: Solve for x
    x = 143,174,349.57/13,803.66
  6. Step 6: Final answer
    x = 10,372.20

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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.