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Finding the Fourth Proportional to 14,039.89, 19,374.89 and 7,666.46

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Solution

The fourth proportional to 14,039.89, 19,374.89 and 7,666.46 is: 10,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,039.89 : 19,374.89 = 7,666.46 : x
  2. Step 2: Convert to fraction form
    14,039.89/19,374.89 = 7,666.46/x
  3. Step 3: Cross multiply
    14,039.89x = 19,374.89 × 7,666.46
  4. Step 4: Simplify right side
    14,039.89x = 148,536,722.31
  5. Step 5: Solve for x
    x = 148,536,722.31/14,039.89
  6. Step 6: Final answer
    x = 10,579.63

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1.5x scale

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.