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Finding the Fourth Proportional to 8,567.96, 11,827.35 and 6,209.64

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Solution

The fourth proportional to 8,567.96, 11,827.35 and 6,209.64 is: 8,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.96 : 11,827.35 = 6,209.64 : x
  2. Step 2: Convert to fraction form
    8,567.96/11,827.35 = 6,209.64/x
  3. Step 3: Cross multiply
    8,567.96x = 11,827.35 × 6,209.64
  4. Step 4: Simplify right side
    8,567.96x = 73,443,585.65
  5. Step 5: Solve for x
    x = 73,443,585.65/8,567.96
  6. Step 6: Final answer
    x = 8,571.89

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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.