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Finding the Fourth Proportional to 10,567.94, 14,593.64 and 6,797.65

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Solution

The fourth proportional to 10,567.94, 14,593.64 and 6,797.65 is: 9,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.94 : 14,593.64 = 6,797.65 : x
  2. Step 2: Convert to fraction form
    10,567.94/14,593.64 = 6,797.65/x
  3. Step 3: Cross multiply
    10,567.94x = 14,593.64 × 6,797.65
  4. Step 4: Simplify right side
    10,567.94x = 99,202,524.08
  5. Step 5: Solve for x
    x = 99,202,524.08/10,567.94
  6. Step 6: Final answer
    x = 9,387.12

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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.