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Finding the Fourth Proportional to 6,470.70, 9,700.76 and 2,308.35

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Solution

The fourth proportional to 6,470.70, 9,700.76 and 2,308.35 is: 3,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.70 : 9,700.76 = 2,308.35 : x
  2. Step 2: Convert to fraction form
    6,470.70/9,700.76 = 2,308.35/x
  3. Step 3: Cross multiply
    6,470.70x = 9,700.76 × 2,308.35
  4. Step 4: Simplify right side
    6,470.70x = 22,392,737.80
  5. Step 5: Solve for x
    x = 22,392,737.80/6,470.70
  6. Step 6: Final answer
    x = 3,460.64

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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.