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Finding the Fourth Proportional to 6,444.60, 9,683.10 and 5,731.80

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Solution

The fourth proportional to 6,444.60, 9,683.10 and 5,731.80 is: 8,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.60 : 9,683.10 = 5,731.80 : x
  2. Step 2: Convert to fraction form
    6,444.60/9,683.10 = 5,731.80/x
  3. Step 3: Cross multiply
    6,444.60x = 9,683.10 × 5,731.80
  4. Step 4: Simplify right side
    6,444.60x = 55,501,592.58
  5. Step 5: Solve for x
    x = 55,501,592.58/6,444.60
  6. Step 6: Final answer
    x = 8,612.11

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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.