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Finding the Fourth Proportional to 19,765.61, 29,647.34 and 4,974.50

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Solution

The fourth proportional to 19,765.61, 29,647.34 and 4,974.50 is: 7,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.61 : 29,647.34 = 4,974.50 : x
  2. Step 2: Convert to fraction form
    19,765.61/29,647.34 = 4,974.50/x
  3. Step 3: Cross multiply
    19,765.61x = 29,647.34 × 4,974.50
  4. Step 4: Simplify right side
    19,765.61x = 147,480,519.72
  5. Step 5: Solve for x
    x = 147,480,519.72/19,765.61
  6. Step 6: Final answer
    x = 7,461.47

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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.