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Finding the Fourth Proportional to 6,660.94, 9,985.05 and 4,470.31

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Solution

The fourth proportional to 6,660.94, 9,985.05 and 4,470.31 is: 6,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660.94 : 9,985.05 = 4,470.31 : x
  2. Step 2: Convert to fraction form
    6,660.94/9,985.05 = 4,470.31/x
  3. Step 3: Cross multiply
    6,660.94x = 9,985.05 × 4,470.31
  4. Step 4: Simplify right side
    6,660.94x = 44,636,268.87
  5. Step 5: Solve for x
    x = 44,636,268.87/6,660.94
  6. Step 6: Final answer
    x = 6,701.20

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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.