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Finding the Fourth Proportional to 9,042.66, 13,568.04 and 7,187.76

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Solution

The fourth proportional to 9,042.66, 13,568.04 and 7,187.76 is: 10,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.66 : 13,568.04 = 7,187.76 : x
  2. Step 2: Convert to fraction form
    9,042.66/13,568.04 = 7,187.76/x
  3. Step 3: Cross multiply
    9,042.66x = 13,568.04 × 7,187.76
  4. Step 4: Simplify right side
    9,042.66x = 97,523,815.19
  5. Step 5: Solve for x
    x = 97,523,815.19/9,042.66
  6. Step 6: Final answer
    x = 10,784.86

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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.