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Finding the Fourth Proportional to 7,070, 9,756.76 and 3,926.32

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Solution

The fourth proportional to 7,070, 9,756.76 and 3,926.32 is: 5,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070 : 9,756.76 = 3,926.32 : x
  2. Step 2: Convert to fraction form
    7,070/9,756.76 = 3,926.32/x
  3. Step 3: Cross multiply
    7,070x = 9,756.76 × 3,926.32
  4. Step 4: Simplify right side
    7,070x = 38,308,161.92
  5. Step 5: Solve for x
    x = 38,308,161.92/7,070
  6. Step 6: Final answer
    x = 5,418.41

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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.