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Finding the Fourth Proportional to 9,798.90, 13,531.72 and 6,822.88

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Solution

The fourth proportional to 9,798.90, 13,531.72 and 6,822.88 is: 9,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.90 : 13,531.72 = 6,822.88 : x
  2. Step 2: Convert to fraction form
    9,798.90/13,531.72 = 6,822.88/x
  3. Step 3: Cross multiply
    9,798.90x = 13,531.72 × 6,822.88
  4. Step 4: Simplify right side
    9,798.90x = 92,325,301.75
  5. Step 5: Solve for x
    x = 92,325,301.75/9,798.90
  6. Step 6: Final answer
    x = 9,422.01

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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.