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Finding the Fourth Proportional to 6,527.80, 9,779.82 and 5,827.96

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Solution

The fourth proportional to 6,527.80, 9,779.82 and 5,827.96 is: 8,731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.80 : 9,779.82 = 5,827.96 : x
  2. Step 2: Convert to fraction form
    6,527.80/9,779.82 = 5,827.96/x
  3. Step 3: Cross multiply
    6,527.80x = 9,779.82 × 5,827.96
  4. Step 4: Simplify right side
    6,527.80x = 56,996,399.77
  5. Step 5: Solve for x
    x = 56,996,399.77/6,527.80
  6. Step 6: Final answer
    x = 8,731.33

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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.