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Finding the Fourth Proportional to 8,197, 11,312.18 and 4,660.84

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Solution

The fourth proportional to 8,197, 11,312.18 and 4,660.84 is: 6,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197 : 11,312.18 = 4,660.84 : x
  2. Step 2: Convert to fraction form
    8,197/11,312.18 = 4,660.84/x
  3. Step 3: Cross multiply
    8,197x = 11,312.18 × 4,660.84
  4. Step 4: Simplify right side
    8,197x = 52,724,261.03
  5. Step 5: Solve for x
    x = 52,724,261.03/8,197
  6. Step 6: Final answer
    x = 6,432.14

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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.