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Finding the Fourth Proportional to 9,800.90, 13,526.41 and 5,822.03

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Solution

The fourth proportional to 9,800.90, 13,526.41 and 5,822.03 is: 8,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.90 : 13,526.41 = 5,822.03 : x
  2. Step 2: Convert to fraction form
    9,800.90/13,526.41 = 5,822.03/x
  3. Step 3: Cross multiply
    9,800.90x = 13,526.41 × 5,822.03
  4. Step 4: Simplify right side
    9,800.90x = 78,751,164.81
  5. Step 5: Solve for x
    x = 78,751,164.81/9,800.90
  6. Step 6: Final answer
    x = 8,035.10

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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.