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Finding the Fourth Proportional to 14,053.24, 19,391.82 and 7,765.24

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Solution

The fourth proportional to 14,053.24, 19,391.82 and 7,765.24 is: 10,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.24 : 19,391.82 = 7,765.24 : x
  2. Step 2: Convert to fraction form
    14,053.24/19,391.82 = 7,765.24/x
  3. Step 3: Cross multiply
    14,053.24x = 19,391.82 × 7,765.24
  4. Step 4: Simplify right side
    14,053.24x = 150,582,136.34
  5. Step 5: Solve for x
    x = 150,582,136.34/14,053.24
  6. Step 6: Final answer
    x = 10,715.12

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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.