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Finding the Fourth Proportional to 6,952.50, 9,589.01 and 6,156.68

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Solution

The fourth proportional to 6,952.50, 9,589.01 and 6,156.68 is: 8,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.50 : 9,589.01 = 6,156.68 : x
  2. Step 2: Convert to fraction form
    6,952.50/9,589.01 = 6,156.68/x
  3. Step 3: Cross multiply
    6,952.50x = 9,589.01 × 6,156.68
  4. Step 4: Simplify right side
    6,952.50x = 59,036,387.36
  5. Step 5: Solve for x
    x = 59,036,387.36/6,952.50
  6. Step 6: Final answer
    x = 8,491.39

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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.