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Finding the Fourth Proportional to 7,729, 11,494.08 and 7,482.97

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Solution

The fourth proportional to 7,729, 11,494.08 and 7,482.97 is: 11,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729 : 11,494.08 = 7,482.97 : x
  2. Step 2: Convert to fraction form
    7,729/11,494.08 = 7,482.97/x
  3. Step 3: Cross multiply
    7,729x = 11,494.08 × 7,482.97
  4. Step 4: Simplify right side
    7,729x = 86,009,855.82
  5. Step 5: Solve for x
    x = 86,009,855.82/7,729
  6. Step 6: Final answer
    x = 11,128.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.