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Finding the Fourth Proportional to 10,616.48, 14,651.04 and 6,139.80

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Solution

The fourth proportional to 10,616.48, 14,651.04 and 6,139.80 is: 8,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.48 : 14,651.04 = 6,139.80 : x
  2. Step 2: Convert to fraction form
    10,616.48/14,651.04 = 6,139.80/x
  3. Step 3: Cross multiply
    10,616.48x = 14,651.04 × 6,139.80
  4. Step 4: Simplify right side
    10,616.48x = 89,954,455.39
  5. Step 5: Solve for x
    x = 89,954,455.39/10,616.48
  6. Step 6: Final answer
    x = 8,473.10

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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.