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Finding the Fourth Proportional to 12,546.60, 17,315.10 and 6,957.60

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Solution

The fourth proportional to 12,546.60, 17,315.10 and 6,957.60 is: 9,601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.60 : 17,315.10 = 6,957.60 : x
  2. Step 2: Convert to fraction form
    12,546.60/17,315.10 = 6,957.60/x
  3. Step 3: Cross multiply
    12,546.60x = 17,315.10 × 6,957.60
  4. Step 4: Simplify right side
    12,546.60x = 120,471,539.76
  5. Step 5: Solve for x
    x = 120,471,539.76/12,546.60
  6. Step 6: Final answer
    x = 9,601.93

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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.