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Finding the Fourth Proportional to 8,470.46, 12,713.49 and 4,313.45

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Solution

The fourth proportional to 8,470.46, 12,713.49 and 4,313.45 is: 6,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.46 : 12,713.49 = 4,313.45 : x
  2. Step 2: Convert to fraction form
    8,470.46/12,713.49 = 4,313.45/x
  3. Step 3: Cross multiply
    8,470.46x = 12,713.49 × 4,313.45
  4. Step 4: Simplify right side
    8,470.46x = 54,838,939.87
  5. Step 5: Solve for x
    x = 54,838,939.87/8,470.46
  6. Step 6: Final answer
    x = 6,474.14

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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.