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Finding the Fourth Proportional to 6,482.93, 9,726.44 and 2,322.83

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Solution

The fourth proportional to 6,482.93, 9,726.44 and 2,322.83 is: 3,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.93 : 9,726.44 = 2,322.83 : x
  2. Step 2: Convert to fraction form
    6,482.93/9,726.44 = 2,322.83/x
  3. Step 3: Cross multiply
    6,482.93x = 9,726.44 × 2,322.83
  4. Step 4: Simplify right side
    6,482.93x = 22,592,855.01
  5. Step 5: Solve for x
    x = 22,592,855.01/6,482.93
  6. Step 6: Final answer
    x = 3,484.98

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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.