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Finding the Fourth Proportional to 14,133.14, 19,491 and 8,828.48

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Solution

The fourth proportional to 14,133.14, 19,491 and 8,828.48 is: 12,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.14 : 19,491 = 8,828.48 : x
  2. Step 2: Convert to fraction form
    14,133.14/19,491 = 8,828.48/x
  3. Step 3: Cross multiply
    14,133.14x = 19,491 × 8,828.48
  4. Step 4: Simplify right side
    14,133.14x = 172,075,903.68
  5. Step 5: Solve for x
    x = 172,075,903.68/14,133.14
  6. Step 6: Final answer
    x = 12,175.35

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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.