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Finding the Fourth Proportional to 6,442.40, 9,663.60 and 4,253.60

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Solution

The fourth proportional to 6,442.40, 9,663.60 and 4,253.60 is: 6,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.40 : 9,663.60 = 4,253.60 : x
  2. Step 2: Convert to fraction form
    6,442.40/9,663.60 = 4,253.60/x
  3. Step 3: Cross multiply
    6,442.40x = 9,663.60 × 4,253.60
  4. Step 4: Simplify right side
    6,442.40x = 41,105,088.96
  5. Step 5: Solve for x
    x = 41,105,088.96/6,442.40
  6. Step 6: Final answer
    x = 6,380.40

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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.