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Finding the Fourth Proportional to 10,056.48, 13,881.60 and 6,914.40

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Solution

The fourth proportional to 10,056.48, 13,881.60 and 6,914.40 is: 9,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.48 : 13,881.60 = 6,914.40 : x
  2. Step 2: Convert to fraction form
    10,056.48/13,881.60 = 6,914.40/x
  3. Step 3: Cross multiply
    10,056.48x = 13,881.60 × 6,914.40
  4. Step 4: Simplify right side
    10,056.48x = 95,982,935.04
  5. Step 5: Solve for x
    x = 95,982,935.04/10,056.48
  6. Step 6: Final answer
    x = 9,544.39

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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.