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Finding the Fourth Proportional to 9,421.74, 12,997.84 and 5,835.74

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Solution

The fourth proportional to 9,421.74, 12,997.84 and 5,835.74 is: 8,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.74 : 12,997.84 = 5,835.74 : x
  2. Step 2: Convert to fraction form
    9,421.74/12,997.84 = 5,835.74/x
  3. Step 3: Cross multiply
    9,421.74x = 12,997.84 × 5,835.74
  4. Step 4: Simplify right side
    9,421.74x = 75,852,032.71
  5. Step 5: Solve for x
    x = 75,852,032.71/9,421.74
  6. Step 6: Final answer
    x = 8,050.75

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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.