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Finding the Fourth Proportional to 13,471.64, 20,187.84 and 7,598.24

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Solution

The fourth proportional to 13,471.64, 20,187.84 and 7,598.24 is: 11,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.64 : 20,187.84 = 7,598.24 : x
  2. Step 2: Convert to fraction form
    13,471.64/20,187.84 = 7,598.24/x
  3. Step 3: Cross multiply
    13,471.64x = 20,187.84 × 7,598.24
  4. Step 4: Simplify right side
    13,471.64x = 153,392,053.40
  5. Step 5: Solve for x
    x = 153,392,053.40/13,471.64
  6. Step 6: Final answer
    x = 11,386.29

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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.