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Finding the Fourth Proportional to 11,309, 15,606.44 and 6,273.06

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Solution

The fourth proportional to 11,309, 15,606.44 and 6,273.06 is: 8,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309 : 15,606.44 = 6,273.06 : x
  2. Step 2: Convert to fraction form
    11,309/15,606.44 = 6,273.06/x
  3. Step 3: Cross multiply
    11,309x = 15,606.44 × 6,273.06
  4. Step 4: Simplify right side
    11,309x = 97,900,134.51
  5. Step 5: Solve for x
    x = 97,900,134.51/11,309
  6. Step 6: Final answer
    x = 8,656.83

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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.