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Finding the Fourth Proportional to 6,452.88, 8,905.20 and 4,567.84

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Solution

The fourth proportional to 6,452.88, 8,905.20 and 4,567.84 is: 6,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.88 : 8,905.20 = 4,567.84 : x
  2. Step 2: Convert to fraction form
    6,452.88/8,905.20 = 4,567.84/x
  3. Step 3: Cross multiply
    6,452.88x = 8,905.20 × 4,567.84
  4. Step 4: Simplify right side
    6,452.88x = 40,677,528.77
  5. Step 5: Solve for x
    x = 40,677,528.77/6,452.88
  6. Step 6: Final answer
    x = 6,303.78

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1.5x scale

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.