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Finding the Fourth Proportional to 8,948.91, 13,414.14 and 6,477.60

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Solution

The fourth proportional to 8,948.91, 13,414.14 and 6,477.60 is: 9,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.91 : 13,414.14 = 6,477.60 : x
  2. Step 2: Convert to fraction form
    8,948.91/13,414.14 = 6,477.60/x
  3. Step 3: Cross multiply
    8,948.91x = 13,414.14 × 6,477.60
  4. Step 4: Simplify right side
    8,948.91x = 86,891,433.26
  5. Step 5: Solve for x
    x = 86,891,433.26/8,948.91
  6. Step 6: Final answer
    x = 9,709.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.