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Finding the Fourth Proportional to 6,358.76, 8,774.89 and 3,564.26

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Solution

The fourth proportional to 6,358.76, 8,774.89 and 3,564.26 is: 4,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.76 : 8,774.89 = 3,564.26 : x
  2. Step 2: Convert to fraction form
    6,358.76/8,774.89 = 3,564.26/x
  3. Step 3: Cross multiply
    6,358.76x = 8,774.89 × 3,564.26
  4. Step 4: Simplify right side
    6,358.76x = 31,275,989.43
  5. Step 5: Solve for x
    x = 31,275,989.43/6,358.76
  6. Step 6: Final answer
    x = 4,918.57

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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.