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Finding the Fourth Proportional to 9,860.57, 13,607.62 and 6,323.80

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Solution

The fourth proportional to 9,860.57, 13,607.62 and 6,323.80 is: 8,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.57 : 13,607.62 = 6,323.80 : x
  2. Step 2: Convert to fraction form
    9,860.57/13,607.62 = 6,323.80/x
  3. Step 3: Cross multiply
    9,860.57x = 13,607.62 × 6,323.80
  4. Step 4: Simplify right side
    9,860.57x = 86,051,867.36
  5. Step 5: Solve for x
    x = 86,051,867.36/9,860.57
  6. Step 6: Final answer
    x = 8,726.87

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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.