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Finding the Fourth Proportional to 10,359, 14,296.77 and 6,167.25

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Solution

The fourth proportional to 10,359, 14,296.77 and 6,167.25 is: 8,511.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359 : 14,296.77 = 6,167.25 : x
  2. Step 2: Convert to fraction form
    10,359/14,296.77 = 6,167.25/x
  3. Step 3: Cross multiply
    10,359x = 14,296.77 × 6,167.25
  4. Step 4: Simplify right side
    10,359x = 88,171,754.78
  5. Step 5: Solve for x
    x = 88,171,754.78/10,359
  6. Step 6: Final answer
    x = 8,511.61

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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.