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Finding the Fourth Proportional to 19,652.96, 29,460.92 and 9,782.91

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Solution

The fourth proportional to 19,652.96, 29,460.92 and 9,782.91 is: 14,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652.96 : 29,460.92 = 9,782.91 : x
  2. Step 2: Convert to fraction form
    19,652.96/29,460.92 = 9,782.91/x
  3. Step 3: Cross multiply
    19,652.96x = 29,460.92 × 9,782.91
  4. Step 4: Simplify right side
    19,652.96x = 288,213,479.96
  5. Step 5: Solve for x
    x = 288,213,479.96/19,652.96
  6. Step 6: Final answer
    x = 14,665.14

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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.