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Finding the Fourth Proportional to 6,482.40, 9,719.76 and 5,092.32

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Solution

The fourth proportional to 6,482.40, 9,719.76 and 5,092.32 is: 7,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.40 : 9,719.76 = 5,092.32 : x
  2. Step 2: Convert to fraction form
    6,482.40/9,719.76 = 5,092.32/x
  3. Step 3: Cross multiply
    6,482.40x = 9,719.76 × 5,092.32
  4. Step 4: Simplify right side
    6,482.40x = 49,496,128.24
  5. Step 5: Solve for x
    x = 49,496,128.24/6,482.40
  6. Step 6: Final answer
    x = 7,635.46

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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.