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Finding the Fourth Proportional to 13,687.66, 18,866.73 and 10,698.22

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Solution

The fourth proportional to 13,687.66, 18,866.73 and 10,698.22 is: 14,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.66 : 18,866.73 = 10,698.22 : x
  2. Step 2: Convert to fraction form
    13,687.66/18,866.73 = 10,698.22/x
  3. Step 3: Cross multiply
    13,687.66x = 18,866.73 × 10,698.22
  4. Step 4: Simplify right side
    13,687.66x = 201,840,428.22
  5. Step 5: Solve for x
    x = 201,840,428.22/13,687.66
  6. Step 6: Final answer
    x = 14,746.16

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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.