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Finding the Fourth Proportional to 6,266.60, 9,399.90 and 1,586.60

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Solution

The fourth proportional to 6,266.60, 9,399.90 and 1,586.60 is: 2,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.60 : 9,399.90 = 1,586.60 : x
  2. Step 2: Convert to fraction form
    6,266.60/9,399.90 = 1,586.60/x
  3. Step 3: Cross multiply
    6,266.60x = 9,399.90 × 1,586.60
  4. Step 4: Simplify right side
    6,266.60x = 14,913,881.34
  5. Step 5: Solve for x
    x = 14,913,881.34/6,266.60
  6. Step 6: Final answer
    x = 2,379.90

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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.