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Finding the Fourth Proportional to 11,471.04, 15,826.20 and 6,434.40

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Solution

The fourth proportional to 11,471.04, 15,826.20 and 6,434.40 is: 8,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.04 : 15,826.20 = 6,434.40 : x
  2. Step 2: Convert to fraction form
    11,471.04/15,826.20 = 6,434.40/x
  3. Step 3: Cross multiply
    11,471.04x = 15,826.20 × 6,434.40
  4. Step 4: Simplify right side
    11,471.04x = 101,832,101.28
  5. Step 5: Solve for x
    x = 101,832,101.28/11,471.04
  6. Step 6: Final answer
    x = 8,877.32

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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.