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Finding the Fourth Proportional to 10,589.38, 14,607.38 and 6,813.02

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Solution

The fourth proportional to 10,589.38, 14,607.38 and 6,813.02 is: 9,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.38 : 14,607.38 = 6,813.02 : x
  2. Step 2: Convert to fraction form
    10,589.38/14,607.38 = 6,813.02/x
  3. Step 3: Cross multiply
    10,589.38x = 14,607.38 × 6,813.02
  4. Step 4: Simplify right side
    10,589.38x = 99,520,372.09
  5. Step 5: Solve for x
    x = 99,520,372.09/10,589.38
  6. Step 6: Final answer
    x = 9,398.13

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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.