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Finding the Fourth Proportional to 19,805.15, 29,676.47 and 7,307.98

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Solution

The fourth proportional to 19,805.15, 29,676.47 and 7,307.98 is: 10,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.15 : 29,676.47 = 7,307.98 : x
  2. Step 2: Convert to fraction form
    19,805.15/29,676.47 = 7,307.98/x
  3. Step 3: Cross multiply
    19,805.15x = 29,676.47 × 7,307.98
  4. Step 4: Simplify right side
    19,805.15x = 216,875,049.23
  5. Step 5: Solve for x
    x = 216,875,049.23/19,805.15
  6. Step 6: Final answer
    x = 10,950.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.