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Finding the Fourth Proportional to 12,048.36, 16,626.48 and 6,743.10

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Solution

The fourth proportional to 12,048.36, 16,626.48 and 6,743.10 is: 9,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.36 : 16,626.48 = 6,743.10 : x
  2. Step 2: Convert to fraction form
    12,048.36/16,626.48 = 6,743.10/x
  3. Step 3: Cross multiply
    12,048.36x = 16,626.48 × 6,743.10
  4. Step 4: Simplify right side
    12,048.36x = 112,114,017.29
  5. Step 5: Solve for x
    x = 112,114,017.29/12,048.36
  6. Step 6: Final answer
    x = 9,305.33

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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.