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Finding the Fourth Proportional to 6,838.50, 9,437.84 and 4,187.68

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Solution

The fourth proportional to 6,838.50, 9,437.84 and 4,187.68 is: 5,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.50 : 9,437.84 = 4,187.68 : x
  2. Step 2: Convert to fraction form
    6,838.50/9,437.84 = 4,187.68/x
  3. Step 3: Cross multiply
    6,838.50x = 9,437.84 × 4,187.68
  4. Step 4: Simplify right side
    6,838.50x = 39,522,653.81
  5. Step 5: Solve for x
    x = 39,522,653.81/6,838.50
  6. Step 6: Final answer
    x = 5,779.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.