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Finding the Fourth Proportional to 11,564.08, 15,958.56 and 6,785.08

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Solution

The fourth proportional to 11,564.08, 15,958.56 and 6,785.08 is: 9,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.08 : 15,958.56 = 6,785.08 : x
  2. Step 2: Convert to fraction form
    11,564.08/15,958.56 = 6,785.08/x
  3. Step 3: Cross multiply
    11,564.08x = 15,958.56 × 6,785.08
  4. Step 4: Simplify right side
    11,564.08x = 108,280,106.28
  5. Step 5: Solve for x
    x = 108,280,106.28/11,564.08
  6. Step 6: Final answer
    x = 9,363.49

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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.