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Finding the Fourth Proportional to 6,309.06, 9,472.72 and 3,848.70

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Solution

The fourth proportional to 6,309.06, 9,472.72 and 3,848.70 is: 5,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.06 : 9,472.72 = 3,848.70 : x
  2. Step 2: Convert to fraction form
    6,309.06/9,472.72 = 3,848.70/x
  3. Step 3: Cross multiply
    6,309.06x = 9,472.72 × 3,848.70
  4. Step 4: Simplify right side
    6,309.06x = 36,457,657.46
  5. Step 5: Solve for x
    x = 36,457,657.46/6,309.06
  6. Step 6: Final answer
    x = 5,778.62

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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.