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Finding the Fourth Proportional to 9,793.42, 13,509.90 and 6,252.90

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Solution

The fourth proportional to 9,793.42, 13,509.90 and 6,252.90 is: 8,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.42 : 13,509.90 = 6,252.90 : x
  2. Step 2: Convert to fraction form
    9,793.42/13,509.90 = 6,252.90/x
  3. Step 3: Cross multiply
    9,793.42x = 13,509.90 × 6,252.90
  4. Step 4: Simplify right side
    9,793.42x = 84,476,053.71
  5. Step 5: Solve for x
    x = 84,476,053.71/9,793.42
  6. Step 6: Final answer
    x = 8,625.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.