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Finding the Fourth Proportional to 6,437.46, 8,883.81 and 3,784.98

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Solution

The fourth proportional to 6,437.46, 8,883.81 and 3,784.98 is: 5,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.46 : 8,883.81 = 3,784.98 : x
  2. Step 2: Convert to fraction form
    6,437.46/8,883.81 = 3,784.98/x
  3. Step 3: Cross multiply
    6,437.46x = 8,883.81 × 3,784.98
  4. Step 4: Simplify right side
    6,437.46x = 33,625,043.17
  5. Step 5: Solve for x
    x = 33,625,043.17/6,437.46
  6. Step 6: Final answer
    x = 5,223.34

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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.