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Finding the Fourth Proportional to 7,187.83, 9,866.21 and 6,384.31

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Solution

The fourth proportional to 7,187.83, 9,866.21 and 6,384.31 is: 8,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.83 : 9,866.21 = 6,384.31 : x
  2. Step 2: Convert to fraction form
    7,187.83/9,866.21 = 6,384.31/x
  3. Step 3: Cross multiply
    7,187.83x = 9,866.21 × 6,384.31
  4. Step 4: Simplify right side
    7,187.83x = 62,988,898.55
  5. Step 5: Solve for x
    x = 62,988,898.55/7,187.83
  6. Step 6: Final answer
    x = 8,763.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.