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Finding the Fourth Proportional to 6,484.26, 8,948.32 and 3,689.76

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Solution

The fourth proportional to 6,484.26, 8,948.32 and 3,689.76 is: 5,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.26 : 8,948.32 = 3,689.76 : x
  2. Step 2: Convert to fraction form
    6,484.26/8,948.32 = 3,689.76/x
  3. Step 3: Cross multiply
    6,484.26x = 8,948.32 × 3,689.76
  4. Step 4: Simplify right side
    6,484.26x = 33,017,153.20
  5. Step 5: Solve for x
    x = 33,017,153.20/6,484.26
  6. Step 6: Final answer
    x = 5,091.89

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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.