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Finding the Fourth Proportional to 6,595.52, 9,894.40 and 3,307.84

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Solution

The fourth proportional to 6,595.52, 9,894.40 and 3,307.84 is: 4,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.52 : 9,894.40 = 3,307.84 : x
  2. Step 2: Convert to fraction form
    6,595.52/9,894.40 = 3,307.84/x
  3. Step 3: Cross multiply
    6,595.52x = 9,894.40 × 3,307.84
  4. Step 4: Simplify right side
    6,595.52x = 32,729,092.10
  5. Step 5: Solve for x
    x = 32,729,092.10/6,595.52
  6. Step 6: Final answer
    x = 4,962.32

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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.