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Finding the Fourth Proportional to 7,306.84, 10,958.10 and 6,137.20

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Solution

The fourth proportional to 7,306.84, 10,958.10 and 6,137.20 is: 9,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.84 : 10,958.10 = 6,137.20 : x
  2. Step 2: Convert to fraction form
    7,306.84/10,958.10 = 6,137.20/x
  3. Step 3: Cross multiply
    7,306.84x = 10,958.10 × 6,137.20
  4. Step 4: Simplify right side
    7,306.84x = 67,252,051.32
  5. Step 5: Solve for x
    x = 67,252,051.32/7,306.84
  6. Step 6: Final answer
    x = 9,203.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.