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Finding the Fourth Proportional to 9,704.34, 13,386.74 and 8,015.76

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Solution

The fourth proportional to 9,704.34, 13,386.74 and 8,015.76 is: 11,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.34 : 13,386.74 = 8,015.76 : x
  2. Step 2: Convert to fraction form
    9,704.34/13,386.74 = 8,015.76/x
  3. Step 3: Cross multiply
    9,704.34x = 13,386.74 × 8,015.76
  4. Step 4: Simplify right side
    9,704.34x = 107,304,854.94
  5. Step 5: Solve for x
    x = 107,304,854.94/9,704.34
  6. Step 6: Final answer
    x = 11,057.41

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Double scale
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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.