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Finding the Fourth Proportional to 7,814.84, 11,722.23 and 7,358.31

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Solution

The fourth proportional to 7,814.84, 11,722.23 and 7,358.31 is: 11,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.84 : 11,722.23 = 7,358.31 : x
  2. Step 2: Convert to fraction form
    7,814.84/11,722.23 = 7,358.31/x
  3. Step 3: Cross multiply
    7,814.84x = 11,722.23 × 7,358.31
  4. Step 4: Simplify right side
    7,814.84x = 86,255,802.23
  5. Step 5: Solve for x
    x = 86,255,802.23/7,814.84
  6. Step 6: Final answer
    x = 11,037.44

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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.