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Finding the Fourth Proportional to 9,676.52, 14,513.93 and 6,853.68

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Solution

The fourth proportional to 9,676.52, 14,513.93 and 6,853.68 is: 10,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.52 : 14,513.93 = 6,853.68 : x
  2. Step 2: Convert to fraction form
    9,676.52/14,513.93 = 6,853.68/x
  3. Step 3: Cross multiply
    9,676.52x = 14,513.93 × 6,853.68
  4. Step 4: Simplify right side
    9,676.52x = 99,473,797.49
  5. Step 5: Solve for x
    x = 99,473,797.49/9,676.52
  6. Step 6: Final answer
    x = 10,279.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.