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Finding the Fourth Proportional to 26,305.40, 39,461.70 and 9,661.40

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Solution

The fourth proportional to 26,305.40, 39,461.70 and 9,661.40 is: 14,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,305.40 : 39,461.70 = 9,661.40 : x
  2. Step 2: Convert to fraction form
    26,305.40/39,461.70 = 9,661.40/x
  3. Step 3: Cross multiply
    26,305.40x = 39,461.70 × 9,661.40
  4. Step 4: Simplify right side
    26,305.40x = 381,255,268.38
  5. Step 5: Solve for x
    x = 381,255,268.38/26,305.40
  6. Step 6: Final answer
    x = 14,493.42

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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.