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Finding the Fourth Proportional to 10,703.12, 14,769.94 and 5,923.26

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Solution

The fourth proportional to 10,703.12, 14,769.94 and 5,923.26 is: 8,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.12 : 14,769.94 = 5,923.26 : x
  2. Step 2: Convert to fraction form
    10,703.12/14,769.94 = 5,923.26/x
  3. Step 3: Cross multiply
    10,703.12x = 14,769.94 × 5,923.26
  4. Step 4: Simplify right side
    10,703.12x = 87,486,261.74
  5. Step 5: Solve for x
    x = 87,486,261.74/10,703.12
  6. Step 6: Final answer
    x = 8,173.90

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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.