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Finding the Fourth Proportional to 10,195.65, 14,064.03 and 6,412.83

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Solution

The fourth proportional to 10,195.65, 14,064.03 and 6,412.83 is: 8,845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.65 : 14,064.03 = 6,412.83 : x
  2. Step 2: Convert to fraction form
    10,195.65/14,064.03 = 6,412.83/x
  3. Step 3: Cross multiply
    10,195.65x = 14,064.03 × 6,412.83
  4. Step 4: Simplify right side
    10,195.65x = 90,190,233.50
  5. Step 5: Solve for x
    x = 90,190,233.50/10,195.65
  6. Step 6: Final answer
    x = 8,845.95

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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.