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Finding the Fourth Proportional to 6,333.76, 8,743 and 5,669.40

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Solution

The fourth proportional to 6,333.76, 8,743 and 5,669.40 is: 7,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.76 : 8,743 = 5,669.40 : x
  2. Step 2: Convert to fraction form
    6,333.76/8,743 = 5,669.40/x
  3. Step 3: Cross multiply
    6,333.76x = 8,743 × 5,669.40
  4. Step 4: Simplify right side
    6,333.76x = 49,567,564.20
  5. Step 5: Solve for x
    x = 49,567,564.20/6,333.76
  6. Step 6: Final answer
    x = 7,825.93

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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.