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Finding the Fourth Proportional to 9,774.46, 13,484.23 and 6,241.24

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Solution

The fourth proportional to 9,774.46, 13,484.23 and 6,241.24 is: 8,610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.46 : 13,484.23 = 6,241.24 : x
  2. Step 2: Convert to fraction form
    9,774.46/13,484.23 = 6,241.24/x
  3. Step 3: Cross multiply
    9,774.46x = 13,484.23 × 6,241.24
  4. Step 4: Simplify right side
    9,774.46x = 84,158,315.65
  5. Step 5: Solve for x
    x = 84,158,315.65/9,774.46
  6. Step 6: Final answer
    x = 8,610.02

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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.