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Finding the Fourth Proportional to 6,567.47, 9,848.47 and 3,276.64

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Solution

The fourth proportional to 6,567.47, 9,848.47 and 3,276.64 is: 4,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.47 : 9,848.47 = 3,276.64 : x
  2. Step 2: Convert to fraction form
    6,567.47/9,848.47 = 3,276.64/x
  3. Step 3: Cross multiply
    6,567.47x = 9,848.47 × 3,276.64
  4. Step 4: Simplify right side
    6,567.47x = 32,269,890.74
  5. Step 5: Solve for x
    x = 32,269,890.74/6,567.47
  6. Step 6: Final answer
    x = 4,913.60

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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.