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Finding the Fourth Proportional to 6,700.32, 9,242.64 and 4,212

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Solution

The fourth proportional to 6,700.32, 9,242.64 and 4,212 is: 5,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.32 : 9,242.64 = 4,212 : x
  2. Step 2: Convert to fraction form
    6,700.32/9,242.64 = 4,212/x
  3. Step 3: Cross multiply
    6,700.32x = 9,242.64 × 4,212
  4. Step 4: Simplify right side
    6,700.32x = 38,929,999.68
  5. Step 5: Solve for x
    x = 38,929,999.68/6,700.32
  6. Step 6: Final answer
    x = 5,810.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.