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Finding the Fourth Proportional to 10,703.57, 14,770.70 and 5,923.51

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Solution

The fourth proportional to 10,703.57, 14,770.70 and 5,923.51 is: 8,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.57 : 14,770.70 = 5,923.51 : x
  2. Step 2: Convert to fraction form
    10,703.57/14,770.70 = 5,923.51/x
  3. Step 3: Cross multiply
    10,703.57x = 14,770.70 × 5,923.51
  4. Step 4: Simplify right side
    10,703.57x = 87,494,389.16
  5. Step 5: Solve for x
    x = 87,494,389.16/10,703.57
  6. Step 6: Final answer
    x = 8,174.32

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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.