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Finding the Fourth Proportional to 8,282.70, 12,424.08 and 3,088.50

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Solution

The fourth proportional to 8,282.70, 12,424.08 and 3,088.50 is: 4,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.70 : 12,424.08 = 3,088.50 : x
  2. Step 2: Convert to fraction form
    8,282.70/12,424.08 = 3,088.50/x
  3. Step 3: Cross multiply
    8,282.70x = 12,424.08 × 3,088.50
  4. Step 4: Simplify right side
    8,282.70x = 38,371,771.08
  5. Step 5: Solve for x
    x = 38,371,771.08/8,282.70
  6. Step 6: Final answer
    x = 4,632.76

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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.