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Finding the Fourth Proportional to 8,159.01, 12,239.46 and 2,966.10

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Solution

The fourth proportional to 8,159.01, 12,239.46 and 2,966.10 is: 4,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.01 : 12,239.46 = 2,966.10 : x
  2. Step 2: Convert to fraction form
    8,159.01/12,239.46 = 2,966.10/x
  3. Step 3: Cross multiply
    8,159.01x = 12,239.46 × 2,966.10
  4. Step 4: Simplify right side
    8,159.01x = 36,303,462.31
  5. Step 5: Solve for x
    x = 36,303,462.31/8,159.01
  6. Step 6: Final answer
    x = 4,449.49

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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.