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Finding the Fourth Proportional to 14,206.81, 19,605.51 and 7,919.59

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Solution

The fourth proportional to 14,206.81, 19,605.51 and 7,919.59 is: 10,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.81 : 19,605.51 = 7,919.59 : x
  2. Step 2: Convert to fraction form
    14,206.81/19,605.51 = 7,919.59/x
  3. Step 3: Cross multiply
    14,206.81x = 19,605.51 × 7,919.59
  4. Step 4: Simplify right side
    14,206.81x = 155,267,600.94
  5. Step 5: Solve for x
    x = 155,267,600.94/14,206.81
  6. Step 6: Final answer
    x = 10,929.10

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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.