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Finding the Fourth Proportional to 7,703.26, 10,630.52 and 4,166.49

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Solution

The fourth proportional to 7,703.26, 10,630.52 and 4,166.49 is: 5,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.26 : 10,630.52 = 4,166.49 : x
  2. Step 2: Convert to fraction form
    7,703.26/10,630.52 = 4,166.49/x
  3. Step 3: Cross multiply
    7,703.26x = 10,630.52 × 4,166.49
  4. Step 4: Simplify right side
    7,703.26x = 44,291,955.27
  5. Step 5: Solve for x
    x = 44,291,955.27/7,703.26
  6. Step 6: Final answer
    x = 5,749.77

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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.