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Finding the Fourth Proportional to 6,584.66, 9,877.18 and 2,884.98

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Solution

The fourth proportional to 6,584.66, 9,877.18 and 2,884.98 is: 4,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.66 : 9,877.18 = 2,884.98 : x
  2. Step 2: Convert to fraction form
    6,584.66/9,877.18 = 2,884.98/x
  3. Step 3: Cross multiply
    6,584.66x = 9,877.18 × 2,884.98
  4. Step 4: Simplify right side
    6,584.66x = 28,495,466.76
  5. Step 5: Solve for x
    x = 28,495,466.76/6,584.66
  6. Step 6: Final answer
    x = 4,327.55

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1.5x scale

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.