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Finding the Fourth Proportional to 10,710.22, 14,778.79 and 5,929.80

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Solution

The fourth proportional to 10,710.22, 14,778.79 and 5,929.80 is: 8,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.22 : 14,778.79 = 5,929.80 : x
  2. Step 2: Convert to fraction form
    10,710.22/14,778.79 = 5,929.80/x
  3. Step 3: Cross multiply
    10,710.22x = 14,778.79 × 5,929.80
  4. Step 4: Simplify right side
    10,710.22x = 87,635,268.94
  5. Step 5: Solve for x
    x = 87,635,268.94/10,710.22
  6. Step 6: Final answer
    x = 8,182.40

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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.