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Finding the Fourth Proportional to 6,920.78, 9,526.61 and 6,035.04

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Solution

The fourth proportional to 6,920.78, 9,526.61 and 6,035.04 is: 8,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.78 : 9,526.61 = 6,035.04 : x
  2. Step 2: Convert to fraction form
    6,920.78/9,526.61 = 6,035.04/x
  3. Step 3: Cross multiply
    6,920.78x = 9,526.61 × 6,035.04
  4. Step 4: Simplify right side
    6,920.78x = 57,493,487.50
  5. Step 5: Solve for x
    x = 57,493,487.50/6,920.78
  6. Step 6: Final answer
    x = 8,307.38

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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.