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Finding the Fourth Proportional to 13,060.64, 18,023.70 and 7,471.64

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Solution

The fourth proportional to 13,060.64, 18,023.70 and 7,471.64 is: 10,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,060.64 : 18,023.70 = 7,471.64 : x
  2. Step 2: Convert to fraction form
    13,060.64/18,023.70 = 7,471.64/x
  3. Step 3: Cross multiply
    13,060.64x = 18,023.70 × 7,471.64
  4. Step 4: Simplify right side
    13,060.64x = 134,666,597.87
  5. Step 5: Solve for x
    x = 134,666,597.87/13,060.64
  6. Step 6: Final answer
    x = 10,310.87

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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.