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Finding the Fourth Proportional to 6,482.33, 9,719.54 and 5,703.82

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Solution

The fourth proportional to 6,482.33, 9,719.54 and 5,703.82 is: 8,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.33 : 9,719.54 = 5,703.82 : x
  2. Step 2: Convert to fraction form
    6,482.33/9,719.54 = 5,703.82/x
  3. Step 3: Cross multiply
    6,482.33x = 9,719.54 × 5,703.82
  4. Step 4: Simplify right side
    6,482.33x = 55,438,507.30
  5. Step 5: Solve for x
    x = 55,438,507.30/6,482.33
  6. Step 6: Final answer
    x = 8,552.25

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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.