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Finding the Fourth Proportional to 6,164.70, 8,652.45 and 6,164.70

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Solution

The fourth proportional to 6,164.70, 8,652.45 and 6,164.70 is: 8,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.70 : 8,652.45 = 6,164.70 : x
  2. Step 2: Convert to fraction form
    6,164.70/8,652.45 = 6,164.70/x
  3. Step 3: Cross multiply
    6,164.70x = 8,652.45 × 6,164.70
  4. Step 4: Simplify right side
    6,164.70x = 53,339,758.52
  5. Step 5: Solve for x
    x = 53,339,758.52/6,164.70
  6. Step 6: Final answer
    x = 8,652.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.