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Finding the Fourth Proportional to 9,411.84, 14,172.78 and 6,963.88

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Solution

The fourth proportional to 9,411.84, 14,172.78 and 6,963.88 is: 10,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.84 : 14,172.78 = 6,963.88 : x
  2. Step 2: Convert to fraction form
    9,411.84/14,172.78 = 6,963.88/x
  3. Step 3: Cross multiply
    9,411.84x = 14,172.78 × 6,963.88
  4. Step 4: Simplify right side
    9,411.84x = 98,697,539.19
  5. Step 5: Solve for x
    x = 98,697,539.19/9,411.84
  6. Step 6: Final answer
    x = 10,486.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.