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Finding the Fourth Proportional to 8,277.50, 12,416.15 and 3,347.10

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Solution

The fourth proportional to 8,277.50, 12,416.15 and 3,347.10 is: 5,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.50 : 12,416.15 = 3,347.10 : x
  2. Step 2: Convert to fraction form
    8,277.50/12,416.15 = 3,347.10/x
  3. Step 3: Cross multiply
    8,277.50x = 12,416.15 × 3,347.10
  4. Step 4: Simplify right side
    8,277.50x = 41,558,095.67
  5. Step 5: Solve for x
    x = 41,558,095.67/8,277.50
  6. Step 6: Final answer
    x = 5,020.61

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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.