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Finding the Fourth Proportional to 6,180.32, 9,264 and 4,534.40

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Solution

The fourth proportional to 6,180.32, 9,264 and 4,534.40 is: 6,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.32 : 9,264 = 4,534.40 : x
  2. Step 2: Convert to fraction form
    6,180.32/9,264 = 4,534.40/x
  3. Step 3: Cross multiply
    6,180.32x = 9,264 × 4,534.40
  4. Step 4: Simplify right side
    6,180.32x = 42,006,681.60
  5. Step 5: Solve for x
    x = 42,006,681.60/6,180.32
  6. Step 6: Final answer
    x = 6,796.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.