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Finding the Fourth Proportional to 6,102.40, 9,146.40 and 2,592.40

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Solution

The fourth proportional to 6,102.40, 9,146.40 and 2,592.40 is: 3,885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.40 : 9,146.40 = 2,592.40 : x
  2. Step 2: Convert to fraction form
    6,102.40/9,146.40 = 2,592.40/x
  3. Step 3: Cross multiply
    6,102.40x = 9,146.40 × 2,592.40
  4. Step 4: Simplify right side
    6,102.40x = 23,711,127.36
  5. Step 5: Solve for x
    x = 23,711,127.36/6,102.40
  6. Step 6: Final answer
    x = 3,885.54

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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.