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Finding the Fourth Proportional to 13,510.94, 18,645.18 and 7,846.07

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Solution

The fourth proportional to 13,510.94, 18,645.18 and 7,846.07 is: 10,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.94 : 18,645.18 = 7,846.07 : x
  2. Step 2: Convert to fraction form
    13,510.94/18,645.18 = 7,846.07/x
  3. Step 3: Cross multiply
    13,510.94x = 18,645.18 × 7,846.07
  4. Step 4: Simplify right side
    13,510.94x = 146,291,387.44
  5. Step 5: Solve for x
    x = 146,291,387.44/13,510.94
  6. Step 6: Final answer
    x = 10,827.62

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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.