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Finding the Fourth Proportional to 7,313.88, 10,946.34 and 4,342.68

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Solution

The fourth proportional to 7,313.88, 10,946.34 and 4,342.68 is: 6,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.88 : 10,946.34 = 4,342.68 : x
  2. Step 2: Convert to fraction form
    7,313.88/10,946.34 = 4,342.68/x
  3. Step 3: Cross multiply
    7,313.88x = 10,946.34 × 4,342.68
  4. Step 4: Simplify right side
    7,313.88x = 47,536,451.79
  5. Step 5: Solve for x
    x = 47,536,451.79/7,313.88
  6. Step 6: Final answer
    x = 6,499.48

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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.