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Finding the Fourth Proportional to 4,651.70, 6,523.90 and 4,651.70

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Solution

The fourth proportional to 4,651.70, 6,523.90 and 4,651.70 is: 6,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.70 : 6,523.90 = 4,651.70 : x
  2. Step 2: Convert to fraction form
    4,651.70/6,523.90 = 4,651.70/x
  3. Step 3: Cross multiply
    4,651.70x = 6,523.90 × 4,651.70
  4. Step 4: Simplify right side
    4,651.70x = 30,347,225.63
  5. Step 5: Solve for x
    x = 30,347,225.63/4,651.70
  6. Step 6: Final answer
    x = 6,523.90

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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.