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Finding the Fourth Proportional to 6,420.70, 9,631.05 and 5,740.30

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Solution

The fourth proportional to 6,420.70, 9,631.05 and 5,740.30 is: 8,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.70 : 9,631.05 = 5,740.30 : x
  2. Step 2: Convert to fraction form
    6,420.70/9,631.05 = 5,740.30/x
  3. Step 3: Cross multiply
    6,420.70x = 9,631.05 × 5,740.30
  4. Step 4: Simplify right side
    6,420.70x = 55,285,116.32
  5. Step 5: Solve for x
    x = 55,285,116.32/6,420.70
  6. Step 6: Final answer
    x = 8,610.45

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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.