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Finding the Fourth Proportional to 7,208.70, 10,814.96 and 4,748.34

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Solution

The fourth proportional to 7,208.70, 10,814.96 and 4,748.34 is: 7,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.70 : 10,814.96 = 4,748.34 : x
  2. Step 2: Convert to fraction form
    7,208.70/10,814.96 = 4,748.34/x
  3. Step 3: Cross multiply
    7,208.70x = 10,814.96 × 4,748.34
  4. Step 4: Simplify right side
    7,208.70x = 51,353,107.17
  5. Step 5: Solve for x
    x = 51,353,107.17/7,208.70
  6. Step 6: Final answer
    x = 7,123.77

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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.