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Finding the Fourth Proportional to 8,161.59, 11,264.06 and 4,804.72

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Solution

The fourth proportional to 8,161.59, 11,264.06 and 4,804.72 is: 6,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.59 : 11,264.06 = 4,804.72 : x
  2. Step 2: Convert to fraction form
    8,161.59/11,264.06 = 4,804.72/x
  3. Step 3: Cross multiply
    8,161.59x = 11,264.06 × 4,804.72
  4. Step 4: Simplify right side
    8,161.59x = 54,120,638.21
  5. Step 5: Solve for x
    x = 54,120,638.21/8,161.59
  6. Step 6: Final answer
    x = 6,631.14

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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.