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Finding the Fourth Proportional to 9,384.54, 14,085.81 and 6,912.30

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Solution

The fourth proportional to 9,384.54, 14,085.81 and 6,912.30 is: 10,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.54 : 14,085.81 = 6,912.30 : x
  2. Step 2: Convert to fraction form
    9,384.54/14,085.81 = 6,912.30/x
  3. Step 3: Cross multiply
    9,384.54x = 14,085.81 × 6,912.30
  4. Step 4: Simplify right side
    9,384.54x = 97,365,344.46
  5. Step 5: Solve for x
    x = 97,365,344.46/9,384.54
  6. Step 6: Final answer
    x = 10,375.08

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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.