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Finding the Fourth Proportional to 9,686.01, 14,523.16 and 4,348.21

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Solution

The fourth proportional to 9,686.01, 14,523.16 and 4,348.21 is: 6,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.01 : 14,523.16 = 4,348.21 : x
  2. Step 2: Convert to fraction form
    9,686.01/14,523.16 = 4,348.21/x
  3. Step 3: Cross multiply
    9,686.01x = 14,523.16 × 4,348.21
  4. Step 4: Simplify right side
    9,686.01x = 63,149,749.54
  5. Step 5: Solve for x
    x = 63,149,749.54/9,686.01
  6. Step 6: Final answer
    x = 6,519.69

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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.