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Finding the Fourth Proportional to 10,544.64, 14,544.32 and 6,768

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Solution

The fourth proportional to 10,544.64, 14,544.32 and 6,768 is: 9,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.64 : 14,544.32 = 6,768 : x
  2. Step 2: Convert to fraction form
    10,544.64/14,544.32 = 6,768/x
  3. Step 3: Cross multiply
    10,544.64x = 14,544.32 × 6,768
  4. Step 4: Simplify right side
    10,544.64x = 98,435,957.76
  5. Step 5: Solve for x
    x = 98,435,957.76/10,544.64
  6. Step 6: Final answer
    x = 9,335.17

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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.