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Finding the Fourth Proportional to 6,582.56, 9,875.56 and 1,965.56

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Solution

The fourth proportional to 6,582.56, 9,875.56 and 1,965.56 is: 2,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.56 : 9,875.56 = 1,965.56 : x
  2. Step 2: Convert to fraction form
    6,582.56/9,875.56 = 1,965.56/x
  3. Step 3: Cross multiply
    6,582.56x = 9,875.56 × 1,965.56
  4. Step 4: Simplify right side
    6,582.56x = 19,411,025.49
  5. Step 5: Solve for x
    x = 19,411,025.49/6,582.56
  6. Step 6: Final answer
    x = 2,948.86

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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.