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Finding the Fourth Proportional to 19,953.20, 29,929.80 and 6,102.20

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Solution

The fourth proportional to 19,953.20, 29,929.80 and 6,102.20 is: 9,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,953.20 : 29,929.80 = 6,102.20 : x
  2. Step 2: Convert to fraction form
    19,953.20/29,929.80 = 6,102.20/x
  3. Step 3: Cross multiply
    19,953.20x = 29,929.80 × 6,102.20
  4. Step 4: Simplify right side
    19,953.20x = 182,637,475.91
  5. Step 5: Solve for x
    x = 182,637,475.91/19,953.20
  6. Step 6: Final answer
    x = 9,153.29

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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.