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Finding the Fourth Proportional to 10,437, 14,403.06 and 6,021

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Solution

The fourth proportional to 10,437, 14,403.06 and 6,021 is: 8,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437 : 14,403.06 = 6,021 : x
  2. Step 2: Convert to fraction form
    10,437/14,403.06 = 6,021/x
  3. Step 3: Cross multiply
    10,437x = 14,403.06 × 6,021
  4. Step 4: Simplify right side
    10,437x = 86,720,824.26
  5. Step 5: Solve for x
    x = 86,720,824.26/10,437
  6. Step 6: Final answer
    x = 8,308.98

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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.