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Finding the Fourth Proportional to 9,566.52, 13,199.10 and 6,209.46

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Solution

The fourth proportional to 9,566.52, 13,199.10 and 6,209.46 is: 8,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.52 : 13,199.10 = 6,209.46 : x
  2. Step 2: Convert to fraction form
    9,566.52/13,199.10 = 6,209.46/x
  3. Step 3: Cross multiply
    9,566.52x = 13,199.10 × 6,209.46
  4. Step 4: Simplify right side
    9,566.52x = 81,959,283.49
  5. Step 5: Solve for x
    x = 81,959,283.49/9,566.52
  6. Step 6: Final answer
    x = 8,567.30

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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.