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Finding the Fourth Proportional to 9,644.67, 14,452.12 and 6,512.40

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Solution

The fourth proportional to 9,644.67, 14,452.12 and 6,512.40 is: 9,758.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.67 : 14,452.12 = 6,512.40 : x
  2. Step 2: Convert to fraction form
    9,644.67/14,452.12 = 6,512.40/x
  3. Step 3: Cross multiply
    9,644.67x = 14,452.12 × 6,512.40
  4. Step 4: Simplify right side
    9,644.67x = 94,117,953.73
  5. Step 5: Solve for x
    x = 94,117,953.73/9,644.67
  6. Step 6: Final answer
    x = 9,758.55

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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.