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Finding the Fourth Proportional to 12,159.66, 16,780.08 and 6,854.46

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Solution

The fourth proportional to 12,159.66, 16,780.08 and 6,854.46 is: 9,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.66 : 16,780.08 = 6,854.46 : x
  2. Step 2: Convert to fraction form
    12,159.66/16,780.08 = 6,854.46/x
  3. Step 3: Cross multiply
    12,159.66x = 16,780.08 × 6,854.46
  4. Step 4: Simplify right side
    12,159.66x = 115,018,387.16
  5. Step 5: Solve for x
    x = 115,018,387.16/12,159.66
  6. Step 6: Final answer
    x = 9,459.01

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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.