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Finding the Fourth Proportional to 12,546.58, 17,315.06 and 6,957.58

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Solution

The fourth proportional to 12,546.58, 17,315.06 and 6,957.58 is: 9,601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.58 : 17,315.06 = 6,957.58 : x
  2. Step 2: Convert to fraction form
    12,546.58/17,315.06 = 6,957.58/x
  3. Step 3: Cross multiply
    12,546.58x = 17,315.06 × 6,957.58
  4. Step 4: Simplify right side
    12,546.58x = 120,470,915.15
  5. Step 5: Solve for x
    x = 120,470,915.15/12,546.58
  6. Step 6: Final answer
    x = 9,601.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.