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Finding the Fourth Proportional to 8,282.90, 11,431.05 and 4,746.98

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Solution

The fourth proportional to 8,282.90, 11,431.05 and 4,746.98 is: 6,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.90 : 11,431.05 = 4,746.98 : x
  2. Step 2: Convert to fraction form
    8,282.90/11,431.05 = 4,746.98/x
  3. Step 3: Cross multiply
    8,282.90x = 11,431.05 × 4,746.98
  4. Step 4: Simplify right side
    8,282.90x = 54,262,965.73
  5. Step 5: Solve for x
    x = 54,262,965.73/8,282.90
  6. Step 6: Final answer
    x = 6,551.20

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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.