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Finding the Fourth Proportional to 8,289.70, 12,434.54 and 5,684.74

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Solution

The fourth proportional to 8,289.70, 12,434.54 and 5,684.74 is: 8,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.70 : 12,434.54 = 5,684.74 : x
  2. Step 2: Convert to fraction form
    8,289.70/12,434.54 = 5,684.74/x
  3. Step 3: Cross multiply
    8,289.70x = 12,434.54 × 5,684.74
  4. Step 4: Simplify right side
    8,289.70x = 70,687,126.92
  5. Step 5: Solve for x
    x = 70,687,126.92/8,289.70
  6. Step 6: Final answer
    x = 8,527.10

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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.