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Finding the Fourth Proportional to 6,580.50, 9,875.61 and 3,117.75

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Solution

The fourth proportional to 6,580.50, 9,875.61 and 3,117.75 is: 4,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.50 : 9,875.61 = 3,117.75 : x
  2. Step 2: Convert to fraction form
    6,580.50/9,875.61 = 3,117.75/x
  3. Step 3: Cross multiply
    6,580.50x = 9,875.61 × 3,117.75
  4. Step 4: Simplify right side
    6,580.50x = 30,789,683.08
  5. Step 5: Solve for x
    x = 30,789,683.08/6,580.50
  6. Step 6: Final answer
    x = 4,678.93

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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.