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Finding the Fourth Proportional to 6,270.63, 8,655.84 and 5,382.87

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Solution

The fourth proportional to 6,270.63, 8,655.84 and 5,382.87 is: 7,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.63 : 8,655.84 = 5,382.87 : x
  2. Step 2: Convert to fraction form
    6,270.63/8,655.84 = 5,382.87/x
  3. Step 3: Cross multiply
    6,270.63x = 8,655.84 × 5,382.87
  4. Step 4: Simplify right side
    6,270.63x = 46,593,261.46
  5. Step 5: Solve for x
    x = 46,593,261.46/6,270.63
  6. Step 6: Final answer
    x = 7,430.40

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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.