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Finding the Fourth Proportional to 7,814.40, 10,856.40 and 7,742.40

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Solution

The fourth proportional to 7,814.40, 10,856.40 and 7,742.40 is: 10,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.40 : 10,856.40 = 7,742.40 : x
  2. Step 2: Convert to fraction form
    7,814.40/10,856.40 = 7,742.40/x
  3. Step 3: Cross multiply
    7,814.40x = 10,856.40 × 7,742.40
  4. Step 4: Simplify right side
    7,814.40x = 84,054,591.36
  5. Step 5: Solve for x
    x = 84,054,591.36/7,814.40
  6. Step 6: Final answer
    x = 10,756.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.