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Finding the Fourth Proportional to 26,973.50, 40,460.25 and 8,505.50

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Solution

The fourth proportional to 26,973.50, 40,460.25 and 8,505.50 is: 12,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,973.50 : 40,460.25 = 8,505.50 : x
  2. Step 2: Convert to fraction form
    26,973.50/40,460.25 = 8,505.50/x
  3. Step 3: Cross multiply
    26,973.50x = 40,460.25 × 8,505.50
  4. Step 4: Simplify right side
    26,973.50x = 344,134,656.38
  5. Step 5: Solve for x
    x = 344,134,656.38/26,973.50
  6. Step 6: Final answer
    x = 12,758.25

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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.