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Finding the Fourth Proportional to 14,045.74, 19,381.47 and 7,757.74

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Solution

The fourth proportional to 14,045.74, 19,381.47 and 7,757.74 is: 10,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,045.74 : 19,381.47 = 7,757.74 : x
  2. Step 2: Convert to fraction form
    14,045.74/19,381.47 = 7,757.74/x
  3. Step 3: Cross multiply
    14,045.74x = 19,381.47 × 7,757.74
  4. Step 4: Simplify right side
    14,045.74x = 150,356,405.08
  5. Step 5: Solve for x
    x = 150,356,405.08/14,045.74
  6. Step 6: Final answer
    x = 10,704.77

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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.