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Finding the Fourth Proportional to 6,901.40, 10,353.68 and 1,971.08

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Solution

The fourth proportional to 6,901.40, 10,353.68 and 1,971.08 is: 2,957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.40 : 10,353.68 = 1,971.08 : x
  2. Step 2: Convert to fraction form
    6,901.40/10,353.68 = 1,971.08/x
  3. Step 3: Cross multiply
    6,901.40x = 10,353.68 × 1,971.08
  4. Step 4: Simplify right side
    6,901.40x = 20,407,931.57
  5. Step 5: Solve for x
    x = 20,407,931.57/6,901.40
  6. Step 6: Final answer
    x = 2,957.07

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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.