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Finding the Fourth Proportional to 7,309.88, 10,088.16 and 4,166.27

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Solution

The fourth proportional to 7,309.88, 10,088.16 and 4,166.27 is: 5,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.88 : 10,088.16 = 4,166.27 : x
  2. Step 2: Convert to fraction form
    7,309.88/10,088.16 = 4,166.27/x
  3. Step 3: Cross multiply
    7,309.88x = 10,088.16 × 4,166.27
  4. Step 4: Simplify right side
    7,309.88x = 42,029,998.36
  5. Step 5: Solve for x
    x = 42,029,998.36/7,309.88
  6. Step 6: Final answer
    x = 5,749.75

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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.