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Finding the Fourth Proportional to 6,567.66, 9,063.37 and 4,209.80

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Solution

The fourth proportional to 6,567.66, 9,063.37 and 4,209.80 is: 5,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.66 : 9,063.37 = 4,209.80 : x
  2. Step 2: Convert to fraction form
    6,567.66/9,063.37 = 4,209.80/x
  3. Step 3: Cross multiply
    6,567.66x = 9,063.37 × 4,209.80
  4. Step 4: Simplify right side
    6,567.66x = 38,154,975.03
  5. Step 5: Solve for x
    x = 38,154,975.03/6,567.66
  6. Step 6: Final answer
    x = 5,809.52

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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.