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Finding the Fourth Proportional to 6,459.75, 9,695.16 and 2,566.89

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Solution

The fourth proportional to 6,459.75, 9,695.16 and 2,566.89 is: 3,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.75 : 9,695.16 = 2,566.89 : x
  2. Step 2: Convert to fraction form
    6,459.75/9,695.16 = 2,566.89/x
  3. Step 3: Cross multiply
    6,459.75x = 9,695.16 × 2,566.89
  4. Step 4: Simplify right side
    6,459.75x = 24,886,409.25
  5. Step 5: Solve for x
    x = 24,886,409.25/6,459.75
  6. Step 6: Final answer
    x = 3,852.53

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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.