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Finding the Fourth Proportional to 6,460.70, 9,669.45 and 5,683.10

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Solution

The fourth proportional to 6,460.70, 9,669.45 and 5,683.10 is: 8,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.70 : 9,669.45 = 5,683.10 : x
  2. Step 2: Convert to fraction form
    6,460.70/9,669.45 = 5,683.10/x
  3. Step 3: Cross multiply
    6,460.70x = 9,669.45 × 5,683.10
  4. Step 4: Simplify right side
    6,460.70x = 54,952,451.30
  5. Step 5: Solve for x
    x = 54,952,451.30/6,460.70
  6. Step 6: Final answer
    x = 8,505.65

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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.