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Finding the Fourth Proportional to 10,458, 14,435.28 and 6,732

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Solution

The fourth proportional to 10,458, 14,435.28 and 6,732 is: 9,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458 : 14,435.28 = 6,732 : x
  2. Step 2: Convert to fraction form
    10,458/14,435.28 = 6,732/x
  3. Step 3: Cross multiply
    10,458x = 14,435.28 × 6,732
  4. Step 4: Simplify right side
    10,458x = 97,178,304.96
  5. Step 5: Solve for x
    x = 97,178,304.96/10,458
  6. Step 6: Final answer
    x = 9,292.25

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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.