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Finding the Fourth Proportional to 9,013, 12,443.43 and 6,185.02

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Solution

The fourth proportional to 9,013, 12,443.43 and 6,185.02 is: 8,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013 : 12,443.43 = 6,185.02 : x
  2. Step 2: Convert to fraction form
    9,013/12,443.43 = 6,185.02/x
  3. Step 3: Cross multiply
    9,013x = 12,443.43 × 6,185.02
  4. Step 4: Simplify right side
    9,013x = 76,962,863.42
  5. Step 5: Solve for x
    x = 76,962,863.42/9,013
  6. Step 6: Final answer
    x = 8,539.10

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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.