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Finding the Fourth Proportional to 7,234.86, 10,852.10 and 2,304.80

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Solution

The fourth proportional to 7,234.86, 10,852.10 and 2,304.80 is: 3,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.86 : 10,852.10 = 2,304.80 : x
  2. Step 2: Convert to fraction form
    7,234.86/10,852.10 = 2,304.80/x
  3. Step 3: Cross multiply
    7,234.86x = 10,852.10 × 2,304.80
  4. Step 4: Simplify right side
    7,234.86x = 25,011,920.08
  5. Step 5: Solve for x
    x = 25,011,920.08/7,234.86
  6. Step 6: Final answer
    x = 3,457.14

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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.