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Finding the Fourth Proportional to 7,703.29, 10,630.49 and 4,166.49

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Solution

The fourth proportional to 7,703.29, 10,630.49 and 4,166.49 is: 5,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.29 : 10,630.49 = 4,166.49 : x
  2. Step 2: Convert to fraction form
    7,703.29/10,630.49 = 4,166.49/x
  3. Step 3: Cross multiply
    7,703.29x = 10,630.49 × 4,166.49
  4. Step 4: Simplify right side
    7,703.29x = 44,291,809.45
  5. Step 5: Solve for x
    x = 44,291,809.45/7,703.29
  6. Step 6: Final answer
    x = 5,749.73

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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.