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Finding the Fourth Proportional to 9,866.84, 13,618.14 and 6,334.52

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Solution

The fourth proportional to 9,866.84, 13,618.14 and 6,334.52 is: 8,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.84 : 13,618.14 = 6,334.52 : x
  2. Step 2: Convert to fraction form
    9,866.84/13,618.14 = 6,334.52/x
  3. Step 3: Cross multiply
    9,866.84x = 13,618.14 × 6,334.52
  4. Step 4: Simplify right side
    9,866.84x = 86,264,380.19
  5. Step 5: Solve for x
    x = 86,264,380.19/9,866.84
  6. Step 6: Final answer
    x = 8,742.86

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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.