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Finding the Fourth Proportional to 12,701.76, 17,523.36 and 7,664.64

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Solution

The fourth proportional to 12,701.76, 17,523.36 and 7,664.64 is: 10,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.76 : 17,523.36 = 7,664.64 : x
  2. Step 2: Convert to fraction form
    12,701.76/17,523.36 = 7,664.64/x
  3. Step 3: Cross multiply
    12,701.76x = 17,523.36 × 7,664.64
  4. Step 4: Simplify right side
    12,701.76x = 134,310,245.99
  5. Step 5: Solve for x
    x = 134,310,245.99/12,701.76
  6. Step 6: Final answer
    x = 10,574.14

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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.