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Finding the Fourth Proportional to 6,200.56, 9,313.56 and 4,095.29

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Solution

The fourth proportional to 6,200.56, 9,313.56 and 4,095.29 is: 6,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.56 : 9,313.56 = 4,095.29 : x
  2. Step 2: Convert to fraction form
    6,200.56/9,313.56 = 4,095.29/x
  3. Step 3: Cross multiply
    6,200.56x = 9,313.56 × 4,095.29
  4. Step 4: Simplify right side
    6,200.56x = 38,141,740.90
  5. Step 5: Solve for x
    x = 38,141,740.90/6,200.56
  6. Step 6: Final answer
    x = 6,151.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.