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Finding the Fourth Proportional to 8,385.77, 12,583.84 and 4,877.42

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Solution

The fourth proportional to 8,385.77, 12,583.84 and 4,877.42 is: 7,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.77 : 12,583.84 = 4,877.42 : x
  2. Step 2: Convert to fraction form
    8,385.77/12,583.84 = 4,877.42/x
  3. Step 3: Cross multiply
    8,385.77x = 12,583.84 × 4,877.42
  4. Step 4: Simplify right side
    8,385.77x = 61,376,672.89
  5. Step 5: Solve for x
    x = 61,376,672.89/8,385.77
  6. Step 6: Final answer
    x = 7,319.15

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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.