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Finding the Fourth Proportional to 9,624.85, 13,282.39 and 5,646.03

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Solution

The fourth proportional to 9,624.85, 13,282.39 and 5,646.03 is: 7,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.85 : 13,282.39 = 5,646.03 : x
  2. Step 2: Convert to fraction form
    9,624.85/13,282.39 = 5,646.03/x
  3. Step 3: Cross multiply
    9,624.85x = 13,282.39 × 5,646.03
  4. Step 4: Simplify right side
    9,624.85x = 74,992,677.77
  5. Step 5: Solve for x
    x = 74,992,677.77/9,624.85
  6. Step 6: Final answer
    x = 7,791.57

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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.