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Finding the Fourth Proportional to 8,654.96, 12,964.40 and 8,032.30

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Solution

The fourth proportional to 8,654.96, 12,964.40 and 8,032.30 is: 12,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.96 : 12,964.40 = 8,032.30 : x
  2. Step 2: Convert to fraction form
    8,654.96/12,964.40 = 8,032.30/x
  3. Step 3: Cross multiply
    8,654.96x = 12,964.40 × 8,032.30
  4. Step 4: Simplify right side
    8,654.96x = 104,133,950.12
  5. Step 5: Solve for x
    x = 104,133,950.12/8,654.96
  6. Step 6: Final answer
    x = 12,031.71

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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.