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Finding the Fourth Proportional to 9,325.84, 13,959.80 and 6,971.96

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Solution

The fourth proportional to 9,325.84, 13,959.80 and 6,971.96 is: 10,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.84 : 13,959.80 = 6,971.96 : x
  2. Step 2: Convert to fraction form
    9,325.84/13,959.80 = 6,971.96/x
  3. Step 3: Cross multiply
    9,325.84x = 13,959.80 × 6,971.96
  4. Step 4: Simplify right side
    9,325.84x = 97,327,167.21
  5. Step 5: Solve for x
    x = 97,327,167.21/9,325.84
  6. Step 6: Final answer
    x = 10,436.29

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1.5x scale

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.