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Finding the Fourth Proportional to 9,820.93, 14,719.70 and 6,843.26

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Solution

The fourth proportional to 9,820.93, 14,719.70 and 6,843.26 is: 10,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.93 : 14,719.70 = 6,843.26 : x
  2. Step 2: Convert to fraction form
    9,820.93/14,719.70 = 6,843.26/x
  3. Step 3: Cross multiply
    9,820.93x = 14,719.70 × 6,843.26
  4. Step 4: Simplify right side
    9,820.93x = 100,730,700.01
  5. Step 5: Solve for x
    x = 100,730,700.01/9,820.93
  6. Step 6: Final answer
    x = 10,256.74

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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.