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Finding the Fourth Proportional to 12,159.66, 16,780.48 and 6,854.48

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Solution

The fourth proportional to 12,159.66, 16,780.48 and 6,854.48 is: 9,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.66 : 16,780.48 = 6,854.48 : x
  2. Step 2: Convert to fraction form
    12,159.66/16,780.48 = 6,854.48/x
  3. Step 3: Cross multiply
    12,159.66x = 16,780.48 × 6,854.48
  4. Step 4: Simplify right side
    12,159.66x = 115,021,464.55
  5. Step 5: Solve for x
    x = 115,021,464.55/12,159.66
  6. Step 6: Final answer
    x = 9,459.27

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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.