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Finding the Fourth Proportional to 9,290, 12,820.22 and 5,098.24

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Solution

The fourth proportional to 9,290, 12,820.22 and 5,098.24 is: 7,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290 : 12,820.22 = 5,098.24 : x
  2. Step 2: Convert to fraction form
    9,290/12,820.22 = 5,098.24/x
  3. Step 3: Cross multiply
    9,290x = 12,820.22 × 5,098.24
  4. Step 4: Simplify right side
    9,290x = 65,360,558.41
  5. Step 5: Solve for x
    x = 65,360,558.41/9,290
  6. Step 6: Final answer
    x = 7,035.58

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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.