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Finding the Fourth Proportional to 6,956.50, 10,434.75 and 2,339.50

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Solution

The fourth proportional to 6,956.50, 10,434.75 and 2,339.50 is: 3,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.50 : 10,434.75 = 2,339.50 : x
  2. Step 2: Convert to fraction form
    6,956.50/10,434.75 = 2,339.50/x
  3. Step 3: Cross multiply
    6,956.50x = 10,434.75 × 2,339.50
  4. Step 4: Simplify right side
    6,956.50x = 24,412,097.63
  5. Step 5: Solve for x
    x = 24,412,097.63/6,956.50
  6. Step 6: Final answer
    x = 3,509.25

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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.