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Finding the Fourth Proportional to 14,206.80, 19,605.48 and 7,919.60

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Solution

The fourth proportional to 14,206.80, 19,605.48 and 7,919.60 is: 10,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.80 : 19,605.48 = 7,919.60 : x
  2. Step 2: Convert to fraction form
    14,206.80/19,605.48 = 7,919.60/x
  3. Step 3: Cross multiply
    14,206.80x = 19,605.48 × 7,919.60
  4. Step 4: Simplify right side
    14,206.80x = 155,267,559.41
  5. Step 5: Solve for x
    x = 155,267,559.41/14,206.80
  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.