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Finding the Fourth Proportional to 10,246.56, 15,373.62 and 4,009.56

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Solution

The fourth proportional to 10,246.56, 15,373.62 and 4,009.56 is: 6,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.56 : 15,373.62 = 4,009.56 : x
  2. Step 2: Convert to fraction form
    10,246.56/15,373.62 = 4,009.56/x
  3. Step 3: Cross multiply
    10,246.56x = 15,373.62 × 4,009.56
  4. Step 4: Simplify right side
    10,246.56x = 61,641,451.81
  5. Step 5: Solve for x
    x = 61,641,451.81/10,246.56
  6. Step 6: Final answer
    x = 6,015.82

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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.