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Finding the Fourth Proportional to 12,159.54, 16,780.14 and 6,854.40

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Solution

The fourth proportional to 12,159.54, 16,780.14 and 6,854.40 is: 9,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.54 : 16,780.14 = 6,854.40 : x
  2. Step 2: Convert to fraction form
    12,159.54/16,780.14 = 6,854.40/x
  3. Step 3: Cross multiply
    12,159.54x = 16,780.14 × 6,854.40
  4. Step 4: Simplify right side
    12,159.54x = 115,017,791.62
  5. Step 5: Solve for x
    x = 115,017,791.62/12,159.54
  6. Step 6: Final answer
    x = 9,459.06

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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.