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Finding the Fourth Proportional to 6,512.34, 9,768.51 and 4,573.20

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Solution

The fourth proportional to 6,512.34, 9,768.51 and 4,573.20 is: 6,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.34 : 9,768.51 = 4,573.20 : x
  2. Step 2: Convert to fraction form
    6,512.34/9,768.51 = 4,573.20/x
  3. Step 3: Cross multiply
    6,512.34x = 9,768.51 × 4,573.20
  4. Step 4: Simplify right side
    6,512.34x = 44,673,349.93
  5. Step 5: Solve for x
    x = 44,673,349.93/6,512.34
  6. Step 6: Final answer
    x = 6,859.80

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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.