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Finding the Fourth Proportional to 10,357.43, 14,292.78 and 5,880.56

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Solution

The fourth proportional to 10,357.43, 14,292.78 and 5,880.56 is: 8,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.43 : 14,292.78 = 5,880.56 : x
  2. Step 2: Convert to fraction form
    10,357.43/14,292.78 = 5,880.56/x
  3. Step 3: Cross multiply
    10,357.43x = 14,292.78 × 5,880.56
  4. Step 4: Simplify right side
    10,357.43x = 84,049,550.36
  5. Step 5: Solve for x
    x = 84,049,550.36/10,357.43
  6. Step 6: Final answer
    x = 8,114.90

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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.