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Finding the Fourth Proportional to 19,574.70, 29,355.90 and 6,424.08

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Solution

The fourth proportional to 19,574.70, 29,355.90 and 6,424.08 is: 9,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.70 : 29,355.90 = 6,424.08 : x
  2. Step 2: Convert to fraction form
    19,574.70/29,355.90 = 6,424.08/x
  3. Step 3: Cross multiply
    19,574.70x = 29,355.90 × 6,424.08
  4. Step 4: Simplify right side
    19,574.70x = 188,584,650.07
  5. Step 5: Solve for x
    x = 188,584,650.07/19,574.70
  6. Step 6: Final answer
    x = 9,634.10

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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.