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Finding the Fourth Proportional to 7,671.64, 10,591.77 and 5,023.54

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Solution

The fourth proportional to 7,671.64, 10,591.77 and 5,023.54 is: 6,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.64 : 10,591.77 = 5,023.54 : x
  2. Step 2: Convert to fraction form
    7,671.64/10,591.77 = 5,023.54/x
  3. Step 3: Cross multiply
    7,671.64x = 10,591.77 × 5,023.54
  4. Step 4: Simplify right side
    7,671.64x = 53,208,180.27
  5. Step 5: Solve for x
    x = 53,208,180.27/7,671.64
  6. Step 6: Final answer
    x = 6,935.70

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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.