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Finding the Fourth Proportional to 11,784.66, 16,258.76 and 7,306.80

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Solution

The fourth proportional to 11,784.66, 16,258.76 and 7,306.80 is: 10,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.66 : 16,258.76 = 7,306.80 : x
  2. Step 2: Convert to fraction form
    11,784.66/16,258.76 = 7,306.80/x
  3. Step 3: Cross multiply
    11,784.66x = 16,258.76 × 7,306.80
  4. Step 4: Simplify right side
    11,784.66x = 118,799,507.57
  5. Step 5: Solve for x
    x = 118,799,507.57/11,784.66
  6. Step 6: Final answer
    x = 10,080.86

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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.