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Finding the Fourth Proportional to 26,507.63, 39,736.26 and 9,856.32

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Solution

The fourth proportional to 26,507.63, 39,736.26 and 9,856.32 is: 14,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,507.63 : 39,736.26 = 9,856.32 : x
  2. Step 2: Convert to fraction form
    26,507.63/39,736.26 = 9,856.32/x
  3. Step 3: Cross multiply
    26,507.63x = 39,736.26 × 9,856.32
  4. Step 4: Simplify right side
    26,507.63x = 391,653,294.16
  5. Step 5: Solve for x
    x = 391,653,294.16/26,507.63
  6. Step 6: Final answer
    x = 14,775.12

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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.