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Finding the Fourth Proportional to 11,494.13, 15,867.96 and 7,737.05

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Solution

The fourth proportional to 11,494.13, 15,867.96 and 7,737.05 is: 10,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.13 : 15,867.96 = 7,737.05 : x
  2. Step 2: Convert to fraction form
    11,494.13/15,867.96 = 7,737.05/x
  3. Step 3: Cross multiply
    11,494.13x = 15,867.96 × 7,737.05
  4. Step 4: Simplify right side
    11,494.13x = 122,771,199.92
  5. Step 5: Solve for x
    x = 122,771,199.92/11,494.13
  6. Step 6: Final answer
    x = 10,681.21

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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.