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Finding the Fourth Proportional to 11,484.29, 15,847.14 and 7,706.70

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Solution

The fourth proportional to 11,484.29, 15,847.14 and 7,706.70 is: 10,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.29 : 15,847.14 = 7,706.70 : x
  2. Step 2: Convert to fraction form
    11,484.29/15,847.14 = 7,706.70/x
  3. Step 3: Cross multiply
    11,484.29x = 15,847.14 × 7,706.70
  4. Step 4: Simplify right side
    11,484.29x = 122,129,153.84
  5. Step 5: Solve for x
    x = 122,129,153.84/11,484.29
  6. Step 6: Final answer
    x = 10,634.45

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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.