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Finding the Fourth Proportional to 14,137.08, 19,510.08 and 7,849.46

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Solution

The fourth proportional to 14,137.08, 19,510.08 and 7,849.46 is: 10,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.08 : 19,510.08 = 7,849.46 : x
  2. Step 2: Convert to fraction form
    14,137.08/19,510.08 = 7,849.46/x
  3. Step 3: Cross multiply
    14,137.08x = 19,510.08 × 7,849.46
  4. Step 4: Simplify right side
    14,137.08x = 153,143,592.56
  5. Step 5: Solve for x
    x = 153,143,592.56/14,137.08
  6. Step 6: Final answer
    x = 10,832.76

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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.