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Finding the Fourth Proportional to 12,048.47, 16,626.44 and 7,013.44

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Solution

The fourth proportional to 12,048.47, 16,626.44 and 7,013.44 is: 9,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.47 : 16,626.44 = 7,013.44 : x
  2. Step 2: Convert to fraction form
    12,048.47/16,626.44 = 7,013.44/x
  3. Step 3: Cross multiply
    12,048.47x = 16,626.44 × 7,013.44
  4. Step 4: Simplify right side
    12,048.47x = 116,608,464.42
  5. Step 5: Solve for x
    x = 116,608,464.42/12,048.47
  6. Step 6: Final answer
    x = 9,678.28

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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.