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Finding the Fourth Proportional to 6,470.55, 9,693.09 and 3,688.83

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Solution

The fourth proportional to 6,470.55, 9,693.09 and 3,688.83 is: 5,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.55 : 9,693.09 = 3,688.83 : x
  2. Step 2: Convert to fraction form
    6,470.55/9,693.09 = 3,688.83/x
  3. Step 3: Cross multiply
    6,470.55x = 9,693.09 × 3,688.83
  4. Step 4: Simplify right side
    6,470.55x = 35,756,161.18
  5. Step 5: Solve for x
    x = 35,756,161.18/6,470.55
  6. Step 6: Final answer
    x = 5,525.98

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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.