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Finding the Fourth Proportional to 8,648.91, 11,930.98 and 5,461.06

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Solution

The fourth proportional to 8,648.91, 11,930.98 and 5,461.06 is: 7,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.91 : 11,930.98 = 5,461.06 : x
  2. Step 2: Convert to fraction form
    8,648.91/11,930.98 = 5,461.06/x
  3. Step 3: Cross multiply
    8,648.91x = 11,930.98 × 5,461.06
  4. Step 4: Simplify right side
    8,648.91x = 65,155,754.16
  5. Step 5: Solve for x
    x = 65,155,754.16/8,648.91
  6. Step 6: Final answer
    x = 7,533.41

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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.