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Finding the Fourth Proportional to 7,702.63, 10,629.63 and 4,165.84

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Solution

The fourth proportional to 7,702.63, 10,629.63 and 4,165.84 is: 5,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.63 : 10,629.63 = 4,165.84 : x
  2. Step 2: Convert to fraction form
    7,702.63/10,629.63 = 4,165.84/x
  3. Step 3: Cross multiply
    7,702.63x = 10,629.63 × 4,165.84
  4. Step 4: Simplify right side
    7,702.63x = 44,281,337.84
  5. Step 5: Solve for x
    x = 44,281,337.84/7,702.63
  6. Step 6: Final answer
    x = 5,748.86

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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.