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Finding the Fourth Proportional to 9,334.98, 12,878.16 and 6,144.17

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Solution

The fourth proportional to 9,334.98, 12,878.16 and 6,144.17 is: 8,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.98 : 12,878.16 = 6,144.17 : x
  2. Step 2: Convert to fraction form
    9,334.98/12,878.16 = 6,144.17/x
  3. Step 3: Cross multiply
    9,334.98x = 12,878.16 × 6,144.17
  4. Step 4: Simplify right side
    9,334.98x = 79,125,539.94
  5. Step 5: Solve for x
    x = 79,125,539.94/9,334.98
  6. Step 6: Final answer
    x = 8,476.24

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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.