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Finding the Fourth Proportional to 9,846.43, 13,587.74 and 5,865.48

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Solution

The fourth proportional to 9,846.43, 13,587.74 and 5,865.48 is: 8,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.43 : 13,587.74 = 5,865.48 : x
  2. Step 2: Convert to fraction form
    9,846.43/13,587.74 = 5,865.48/x
  3. Step 3: Cross multiply
    9,846.43x = 13,587.74 × 5,865.48
  4. Step 4: Simplify right side
    9,846.43x = 79,698,519.95
  5. Step 5: Solve for x
    x = 79,698,519.95/9,846.43
  6. Step 6: Final answer
    x = 8,094.15

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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.