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Finding the Fourth Proportional to 7,702.92, 10,630.03 and 4,166.13

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Solution

The fourth proportional to 7,702.92, 10,630.03 and 4,166.13 is: 5,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.92 : 10,630.03 = 4,166.13 : x
  2. Step 2: Convert to fraction form
    7,702.92/10,630.03 = 4,166.13/x
  3. Step 3: Cross multiply
    7,702.92x = 10,630.03 × 4,166.13
  4. Step 4: Simplify right side
    7,702.92x = 44,286,012.90
  5. Step 5: Solve for x
    x = 44,286,012.90/7,702.92
  6. Step 6: Final answer
    x = 5,749.25

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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.