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Finding the Fourth Proportional to 6,507, 9,739.54 and 4,287.66

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Solution

The fourth proportional to 6,507, 9,739.54 and 4,287.66 is: 6,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507 : 9,739.54 = 4,287.66 : x
  2. Step 2: Convert to fraction form
    6,507/9,739.54 = 4,287.66/x
  3. Step 3: Cross multiply
    6,507x = 9,739.54 × 4,287.66
  4. Step 4: Simplify right side
    6,507x = 41,759,836.08
  5. Step 5: Solve for x
    x = 41,759,836.08/6,507
  6. Step 6: Final answer
    x = 6,417.68

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