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Finding the Fourth Proportional to 10,433, 14,397.54 and 6,017

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Solution

The fourth proportional to 10,433, 14,397.54 and 6,017 is: 8,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433 : 14,397.54 = 6,017 : x
  2. Step 2: Convert to fraction form
    10,433/14,397.54 = 6,017/x
  3. Step 3: Cross multiply
    10,433x = 14,397.54 × 6,017
  4. Step 4: Simplify right side
    10,433x = 86,629,998.18
  5. Step 5: Solve for x
    x = 86,629,998.18/10,433
  6. Step 6: Final answer
    x = 8,303.46

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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.